Question

by melting a solid sphere of radius 5cm a solid right circular cone of the same database is made find the height of the cone

Answer 1

The options for this question are missing. Here are the missing options:

A. 5

B. 10

C. 20

D. 22

Answer:

The correct answer for this question is Option C. 20

Let the height of the cone be h cm

4/3 πr³ = 1/3πr³h

4r = h

4 x 5 = h

h = 20 cm

If there is any confusion please leave a comment below.

Answer 2

Given:

Sphere,

Radius = 5 cm

To find:

The height of the cone

Solution:

The sphere is melted to form a cone.

Hence, Volume of the sphere = Volume of the cone

4 / 3 * π * ( radius )^3 = 1 / 3 * π * ( radius )^2 * height

Cancelling all the common terms,

4 * radius = height

Substituting,

4 x 5 = h

Hence, Height = 20 cm

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