Question

what is the volume of a cone with a height of 10.5 inches and a radius of 8 inches?
cone ( v=\frac{1}{3} b h )

1. rewrite the formula for the base area:

( v=\frac{1}{3} pi r^{2} h )

1. substitute the values into the formula:

( v=\frac{1}{3} pileft(8^{2}
ight)(10.5) )
3.evaluate the power:
( v=\frac{1}{3} pi(64)(10.5) )
4.simplify using multiplication:
( v=\frac{1}{3} pi(672) )
the cone has a volume of ( pi mathrm{in}^{3} ).

Explanation:

Step1: Simplify the expression

$$V=\frac{1}{3}\pi(672)$$

Step2: Calculate the coefficient of $\pi$

$$\frac{1}{3}\times672 = 224$$

Answer:

$224$