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What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? Use 3.14 for pi.(1 point) Responses 6,280 cubic ce...Asked by dino scientist
What is the volume of a cone with a diameter of 20 cm and a height of 15 cm? Use 3.14 for pi.(1 point)
Responses
1,570 cubic centimeters
1,570 cubic centimeters
6,280 cubic centimeters
6,280 cubic centimeters
2,355 cubic centimeters
2,355 cubic centimeters
314 cubic centimeters
choose one of my options
Responses
1,570 cubic centimeters
1,570 cubic centimeters
6,280 cubic centimeters
6,280 cubic centimeters
2,355 cubic centimeters
2,355 cubic centimeters
314 cubic centimeters
choose one of my options
Answers
Answered by
dino scientist
What is the volume of the cone? Use 3.14 for pi
r(5 in) h(9 in)
r(5 in) h(9 in)
Answered by
dino scientist
A professional baker uses a chocolate mold to make decorations for cakes. One chocolate mold is in the shape of a cone and has a diameter of 2 cm and a height of 6 cm. What volume of chocolate, in cubic centimeters, is needed to make a solid chocolate cone? Use 3.14 for π
Answered by
dino scientist
A sandcastle mold is in the shape of a cone, with a diameter of 4 meters and a height of 6 meters. What volume of sand is needed to fill the mold? Use 3.14 for π
Answered by
dino scientist
A hanging flower vase is in the shape of a cone with a radius of 5 inches and a height of 15 inches. What volume of water can the flower vase hold? Use 3.14 for π
Answered by
GPT-4o mini
To find the volume of the cone, you can use the formula:
\[
V = \frac{1}{3} \pi r^2 h
\]
where \( V \) is the volume, \( r \) is the radius, \( h \) is the height, and \( \pi \) is approximately 3.14.
Given:
- Diameter = 20 cm, so the radius \( r = \frac{20}{2} = 10 \) cm.
- Height \( h = 15 \) cm.
Now, substitute the values into the formula:
\[
V = \frac{1}{3} \times 3.14 \times (10)^2 \times 15
\]
Calculating that step by step:
1. Calculate \( 10^2 = 100 \).
2. Multiply by the height: \( 100 \times 15 = 1500 \).
3. Now, multiply by \( \pi \): \( 1500 \times 3.14 = 4710 \).
4. Finally, divide by 3: \( \frac{4710}{3} = 1570 \).
So, the volume of the cone is \( 1,570 \) cubic centimeters.
The correct response is:
**1,570 cubic centimeters**.
\[
V = \frac{1}{3} \pi r^2 h
\]
where \( V \) is the volume, \( r \) is the radius, \( h \) is the height, and \( \pi \) is approximately 3.14.
Given:
- Diameter = 20 cm, so the radius \( r = \frac{20}{2} = 10 \) cm.
- Height \( h = 15 \) cm.
Now, substitute the values into the formula:
\[
V = \frac{1}{3} \times 3.14 \times (10)^2 \times 15
\]
Calculating that step by step:
1. Calculate \( 10^2 = 100 \).
2. Multiply by the height: \( 100 \times 15 = 1500 \).
3. Now, multiply by \( \pi \): \( 1500 \times 3.14 = 4710 \).
4. Finally, divide by 3: \( \frac{4710}{3} = 1570 \).
So, the volume of the cone is \( 1,570 \) cubic centimeters.
The correct response is:
**1,570 cubic centimeters**.
Answered by
GPT-4o mini
To find the volume of the cone, you can use the formula:
\[
V = \frac{1}{3} \pi r^2 h
\]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- Radius \( r = 5 \) inches,
- Height \( h = 9 \) inches.
Now, substitute the values into the formula:
\[
V = \frac{1}{3} \times 3.14 \times (5)^2 \times 9
\]
Calculating that step by step:
1. Calculate \( (5)^2 = 25 \).
2. Now, multiply by the height: \( 25 \times 9 = 225 \).
3. Now, multiply by \( \pi \): \( 225 \times 3.14 = 706.5 \).
4. Finally, divide by 3: \( \frac{706.5}{3} \approx 235.5 \).
Thus, the volume of the cone is approximately **235.5 cubic inches**.
\[
V = \frac{1}{3} \pi r^2 h
\]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- Radius \( r = 5 \) inches,
- Height \( h = 9 \) inches.
Now, substitute the values into the formula:
\[
V = \frac{1}{3} \times 3.14 \times (5)^2 \times 9
\]
Calculating that step by step:
1. Calculate \( (5)^2 = 25 \).
2. Now, multiply by the height: \( 25 \times 9 = 225 \).
3. Now, multiply by \( \pi \): \( 225 \times 3.14 = 706.5 \).
4. Finally, divide by 3: \( \frac{706.5}{3} \approx 235.5 \).
Thus, the volume of the cone is approximately **235.5 cubic inches**.
Answered by
GPT-4o mini
To find the volume of the chocolate cone, you can use the formula:
\[
V = \frac{1}{3} \pi r^2 h
\]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- Diameter = 2 cm, so the radius \( r = \frac{2}{2} = 1 \) cm.
- Height \( h = 6 \) cm.
Now substitute the values into the formula:
\[
V = \frac{1}{3} \times 3.14 \times (1)^2 \times 6
\]
Calculating that step by step:
1. Calculate \( (1)^2 = 1 \).
2. Now, multiply by the height: \( 1 \times 6 = 6 \).
3. Now, multiply by \( \pi \): \( 6 \times 3.14 = 18.84 \).
4. Finally, divide by 3: \( \frac{18.84}{3} \approx 6.28 \).
Thus, the volume of chocolate needed to make a solid chocolate cone is approximately **6.28 cubic centimeters**.
\[
V = \frac{1}{3} \pi r^2 h
\]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- Diameter = 2 cm, so the radius \( r = \frac{2}{2} = 1 \) cm.
- Height \( h = 6 \) cm.
Now substitute the values into the formula:
\[
V = \frac{1}{3} \times 3.14 \times (1)^2 \times 6
\]
Calculating that step by step:
1. Calculate \( (1)^2 = 1 \).
2. Now, multiply by the height: \( 1 \times 6 = 6 \).
3. Now, multiply by \( \pi \): \( 6 \times 3.14 = 18.84 \).
4. Finally, divide by 3: \( \frac{18.84}{3} \approx 6.28 \).
Thus, the volume of chocolate needed to make a solid chocolate cone is approximately **6.28 cubic centimeters**.
Answered by
GPT-4o mini
To find the volume of the sandcastle mold in the shape of a cone, you can use the formula:
\[
V = \frac{1}{3} \pi r^2 h
\]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- Diameter = 4 meters, so the radius \( r = \frac{4}{2} = 2 \) meters.
- Height \( h = 6 \) meters.
Now substitute the values into the formula:
\[
V = \frac{1}{3} \times 3.14 \times (2)^2 \times 6
\]
Calculating that step by step:
1. Calculate \( (2)^2 = 4 \).
2. Now, multiply by the height: \( 4 \times 6 = 24 \).
3. Now, multiply by \( \pi \): \( 24 \times 3.14 = 75.36 \).
4. Finally, divide by 3: \( \frac{75.36}{3} = 25.12 \).
Thus, the volume of sand needed to fill the mold is approximately **25.12 cubic meters**.
\[
V = \frac{1}{3} \pi r^2 h
\]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- Diameter = 4 meters, so the radius \( r = \frac{4}{2} = 2 \) meters.
- Height \( h = 6 \) meters.
Now substitute the values into the formula:
\[
V = \frac{1}{3} \times 3.14 \times (2)^2 \times 6
\]
Calculating that step by step:
1. Calculate \( (2)^2 = 4 \).
2. Now, multiply by the height: \( 4 \times 6 = 24 \).
3. Now, multiply by \( \pi \): \( 24 \times 3.14 = 75.36 \).
4. Finally, divide by 3: \( \frac{75.36}{3} = 25.12 \).
Thus, the volume of sand needed to fill the mold is approximately **25.12 cubic meters**.
Answered by
GPT-4o mini
To find the volume of the hanging flower vase in the shape of a cone, you can use the formula:
\[
V = \frac{1}{3} \pi r^2 h
\]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- Radius \( r = 5 \) inches,
- Height \( h = 15 \) inches.
Now, substitute the values into the formula:
\[
V = \frac{1}{3} \times 3.14 \times (5)^2 \times 15
\]
Calculating step by step:
1. Calculate \( (5)^2 = 25 \).
2. Now, multiply by the height: \( 25 \times 15 = 375 \).
3. Now, multiply by \( \pi \): \( 375 \times 3.14 = 1177.5 \).
4. Finally, divide by 3:
\[
\frac{1177.5}{3} = 392.5
\]
Thus, the volume of water that the flower vase can hold is approximately **392.5 cubic inches**.
\[
V = \frac{1}{3} \pi r^2 h
\]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- Radius \( r = 5 \) inches,
- Height \( h = 15 \) inches.
Now, substitute the values into the formula:
\[
V = \frac{1}{3} \times 3.14 \times (5)^2 \times 15
\]
Calculating step by step:
1. Calculate \( (5)^2 = 25 \).
2. Now, multiply by the height: \( 25 \times 15 = 375 \).
3. Now, multiply by \( \pi \): \( 375 \times 3.14 = 1177.5 \).
4. Finally, divide by 3:
\[
\frac{1177.5}{3} = 392.5
\]
Thus, the volume of water that the flower vase can hold is approximately **392.5 cubic inches**.
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