Question

Find the volume of a right circular cone that has a height of 10.7 in and a base with a diameter of 8.1 in. Round your answer to the nearest tenth of a cubic inch.

Answer 1

Answer:

$V = \pi r^2 h$

And for this case the value for the height is $h = 10.7 in$ the diameter is provided $D = 2r = 8.1 in$ so then the radius is given by:

$r = \frac{D}{2}=\frac{8.1 in}{2}= 4.05 in$

Then we can find the volume with the first formula and replacing we got:

$V = \pi (4.05in)^2 (10.7 in)= 551.4 in ^3$

The final answer for this case would be 551.4 cubic inches

Step-by-step explanation:

The volume for a right circular cone is given by this formula:

$V = \pi r^2 h$

And for this case the value for the height is $h = 10.7 in$ the diameter is provided $D = 2r = 8.1 in$ so then the radius is given by:

$r = \frac{D}{2}=\frac{8.1 in}{2}= 4.05 in$

Then we can find the volume with the first formula and replacing we got:

$V = \pi (4.05in)^2 (10.7 in)= 551.4 in ^3$

The final answer for this case would be 551.4 cubic inches

Answer 2

Answer V:183.8^3 previous answer is wrong