find the volume of a cone with a base radius of 5 yd and a height of 9 yd. use the value 3.14 for π, and do…

find the volume of a cone with a base radius of 5 yd and a height of 9 yd. use the value 3.14 for π, and do not do any rounding. be sure to include the correct unit in your answer.

find the volume of a cone with a base radius of 5 yd and a height of 9 yd. use the value 3.14 for π, and do not do any rounding. be sure to include the correct unit in your answer.

Answer

Explanation:

Step1: Recall the formula for the volume of a cone

The formula for the volume ( V ) of a cone is ( V=\frac{1}{3}\pi r^{2}h ), where ( r ) is the radius and ( h ) is the height.

Step2: Substitute the given values into the formula

Given ( r = 5) yd and ( h=9) yd, and using ( \pi = 3.14). [ \begin{align*} V&=\frac{1}{3}\times3.14\times5^{2}\times9\ &=\frac{1}{3}\times3.14\times25\times9\ &=3.14\times25\times3\ & = 235.5 \end{align*} ]

Answer:

(235.5) (yd^{3})