## 29- If the volume and surface area of a sphere are numerically equal then its radius is-.(a) 2 units (b) 3 units (c) 4 units (d

Question

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## Answers ( )

Answer:Step-by-step explanation:→ First we have to find the volume of the sphere.

→ Volume of a sphere is given by

→

Volume of a sphere = 4/3 × π × r³—–(1)→ Now we have to find the surface area of the sphere

→ Surface area of a sphere is given by

Surface area of a sphere = 4 π r²——(2)→ By given we know that

LHS of equation 1 and 2 are equal, hence RHS must also be equal.

4/3 π r³ = 4 π r²

→ Cancelling 4 , π and r² on both sides

1/3 r = 1

r = 1 × 3

r = 3 units

→ Hence the radius of the sphere is 3 units

→ Hence

option bis correct→Volume of a sphere = 4/3 × π × r³

→ Surface area of a sphere = 4 π r²

Answer:## 3

Step-by-step explanation:## its easy

## (4/3)πr³=4πr²

## (4/3)r=4

## 1/3r = 0

## r=3