Question

Given a cone with a volume of 288, and height 7 in., find the base radius of the cone. Use 3.14 for pi. Round your answer to the

Answer 1

Answer:

The radius of the base is $r=6.3\ in$

Step-by-step explanation:

we know that

The volume of a cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$V=288\ in^{3}$

$h=7\ in$

$\pi=3.14$

substitute and solve for r

$288=\frac{1}{3}(3.14)r^{2} (7)$

$864=(3.14)r^{2} (7)$

$r^{2}=864/[(3.14)(7)]$

$r=6.3\ in$