Question

the height of a cone is 15 CM the volume of the cone is 500 cubic CM find the radius of the base​

Answer 1

answer:

5.63

Step-by-step explanation:

we got the volume of the cone as 500 cubic Cm

so,

v-1/3πr²h

500-1/3x22/7xr²x15

500-110/7xr²

r-√31.8

r-5.63

this is my answer if this satisfy you please mark me as brainlist.

Answer 2

Answer :

$\large \implies \mathbb{ r = 10 cm}$

Solution :

Given :

• Height of a cone, h = 15 cm.
• Volume of cone = 500π cm³.

To Find :

• Radius of it's base .

Lets solve ,

$\large \bigstar \boxed{\tt Volume \; of \: the \: cone = \frac{1}{3}\pi r^2 h}$

Putting the values ,

$\implies 500\pi = \frac{1}{3}\: \pi \: r^2 \: 15 \\ \\ \sf \implies 500 \pi= \frac{1}{\cancel{3}} \: \pi \: r^2 \: \cancel{3}×5 \\ \\ \implies \sf 500\cancel{\pi} = r^2 \: \cancel{\pi} \: 5 \\ \\ \sf \implies r^2 = \frac{500}{5} \\ \\ \sf \implies r^2 = 100 \\ \\ \implies \underline{\boxed{\mathbb r = 10cm}}$

Therefore,

Radius of the base of circle is 10 cm.