Question

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

Answer 1

Answer:

Step-by-step explanation:

V=1/3 πr²h

700 π=1/3 πr²×21

r²=100

r=√100=10 units

Answer 2

Answer:

r = 10

Step-by-step explanation:

Using the formula:

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

We make r the subject to get:

$r = \sqrt{3 \frac{V}{\pi h} }$

Now we substitute values given and simplify:

r = $\sqrt{3 \frac{700\pi }{21\pi } }$

We can cancel out pi from top and bottom:

r = $\sqrt{3 \frac{700 }{21 } }$

We can do 700÷21 = 33.3333333333

Now we have:

$r = \sqrt{3 *33.3333333333}$
Simplify to get :

r ≈ 10