Question

The surface area of sphere of radius 5cm is five times the CSA of a cone of radius 5cm. Then find the volume of cone??​

Answer 1

Answer:

final answer is 50.285 sq.cm. You can see it in attachments

b5c179f57062eeb57edebe67b8515cee.pdf

Answer 2

Answer:

SA of sphere = 4πr²

CSA of cone = πrL

Let the radius of sphere be r

And let the radius of cone be R

Given:

r = 5cm

R = 5cm

Condition

4πr² = 5×πRL

4×π×5×5 = 5×π×5×L

L = 4

For a cone

L² = R² + h²

-h² = R² - L²

= 5² - 4²

= 9

h = 3cm

Vol of cone = 1/3πr²h

= 1/3 × 22/7 × 5× 5× 3

=78.571