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The volume of a right cone is 700 pi units. If its height is 21 units,
find its radius.

The volume of a right cone is 700 pi units. If its height is 21 units, find its radius-example-1
User Aman Gupta
by
3.9k points

2 Answers

3 votes

Answer:

Explanation:

V=1/3 πr²h

700 π=1/3 πr²×21

r²=100

r=√100=10 units

User Kirpt
by
3.6k points
11 votes

Answer:

r = 10

Explanation:

Using the formula:


V = \pi r^(2) (h)/(3)

We make r the subject to get:


r = \sqrt{3 (V)/(\pi h) }

Now we substitute values given and simplify:

r =
\sqrt{3 (700\pi )/(21\pi ) }

We can cancel out pi from top and bottom:

r =
\sqrt{3 (700 )/(21 ) }

We can do 700÷21 = 33.3333333333

Now we have:


r = √(3 *33.3333333333)
Simplify to get :

r ≈ 10

User Darren H
by
3.4k points