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)

Question

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

Answer 1

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.

Answer 2

What is the volume of the cone? Use 3.14 for pi
r(5 in) h(9 in)

Answer 3

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.

Answer 4

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

Answer 5

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.

Answer 6

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

Answer 7

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.

Answer 8

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

Answer 9

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.