Question

The surface area of a sphere is the same as the curved surface area of a cone having the radius of the base as 120 cm and height 160 cm. Find the radius of the sphere.

Answer 1

Answer:

The Radius of a sphere is 77.46 cm.

Step-by-step explanation:

SOLUTION :  

Let R be the radius of a sphere.

Given :  

Radius of cone ,r = 120 cm

Height of cone, h = 160 cm

Slant height of a cone,l = √r² + h²

l = √120² + 160²

l = √14400 + 25600

l = √40000

l = 200 cm

Surface area of a sphere = curved surface area of a cone (Given)

4πR² = πrl

4R² = rl

4R² = 120 × 200

R² = (120 × 200)/4

R² = 30 × 200

R² = 6000

R = √6000

R = 77.46 cm

Radius of a sphere, R = 77.46 cm

Hence , the Radius of a sphere is 77.46 cm.

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

hey the answer is. . . . .

tsa of sphere = csa of cone

csa of cone = pi r l

4 pi r^2 = pi × 120 × 200

pi and pi is cancelled. ....

r^2 = 120/4 × 200

r^2 = 6000

r = 77.6cm ( approx )

hope it helps uu frnd