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)

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.

What is the volume of the cone? Use 3.14 for pi

r(5 in) h(9 in)

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.

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

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.

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

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.

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

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.