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A cone with a radius 2 units is shown below. Its volume is 29 cubic units. Find the height of the cone

User Ahmed Negm
by
7.1k points

2 Answers

3 votes

Answer:

6.9

Explanation:

did it on khan :)

User Yiksanchan
by
6.7k points
3 votes

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

User Joseph McCarthy
by
7.3k points