2 Answers

Joseph McCarthy · Answer 1 · 2020-11-07T17:58:48+0000

Answer:

The height of the cone is
$6.9\ units$

Explanation:

we know that

The volume of the cone is equal to

V=(1)/(3)Bh

where

B is the area of the circular base of the cone

h is the height of the cone

In this problem we have

$V=29\ units^(3)$

$r=2\ units$

Find the area of the base B

$B=\pi r^(2)$

substitute the value of r

$B=\pi (2)^(2)=4 \pi\ units^(2)$

Find the height of the cone

$29=(1)/(3)(4 \pi)h$

$h=29*3/(4 \pi)$

assume
$\pi=3.14$

$h=29*3/(4*3.14)=6.9\ units$

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