Question

The surface area of a sphere is 2916 pi cm square. Find its volume.

Answer 1

Answer:

972×27π

Step-by-step explanation:

TSA of sphere = 4πr^2

4πr^2= 2916π

4r^2 = 2916

2916/r^2 = 4

now, volume of sphere= 4/3πr^3

replace 4 by 2916/r^2

volume = 2916/r^2 ×1/3 × πr^3

2916πr/3

972πr

now r=√(2916/4)=27

volume= 972×27π

Answer 2

ANSWER :–

Volume of sphere = (26,244)π cm³

EXPLANATION :–

GIVEN :–

• Surface area of a sphere is 2916 π cm².

TO FIND :–

Volume of sphere

SOLUTION :–

• We know that –

Surface area of sphere = 4πr²

• According to the question –

=> Surface area of sphere = 2916 π

=> 4πr² = 2916 π

=> 4r² = 2916

=> r² = 729

=> r = 27 cm

• Volume of sphere = (4/3) πr³

=> Volume of sphere = (4/3) π(27)³

=> Volume of sphere = (4/3) π (19683)

=> Volume of sphere = (26,244)π cm³

USED FORMULA :–

(1) Surface area of sphere = 4πr²

(2) Volume of sphere = (4/3) πr³