Question

the volumes of a sphere having radus cube root 2 cm equal to the volume of the right circular cone whose lateral surface area is three times of the area of the base find the altitude of a cone . please tell step by step​

Answer 1

Answer:

Step-by-step explanation:

The volume of the right circular cone - ⅓ π r² h.

Radius= ∛2 cm

lateral surface area = πr√h²+r²

area of the base = πr²

πr√h²+r²= 3 πr²

∛2√h²+ (∛2)² = 3 ∛2²

∛2√h²= 3

√h²= 3/ ∛2

h= √3/ ∛2

h = √3/ 1.2599

h= √2.38

h= 1.5427