Question

The sphere on the left has radius rand a volume equal to 40 units. Find the

volume of a sphere with twice the radius.
A. 80 units3
B. 200 units 3
C. 320 units3
D. 160 units
SUBMIT

Answer 1

320units³

Explanation:

Volume of a sphere V = 4/3πr³

40 = 4/3πr³

120 = 4πr³

30 = πr³

r³ = 30/π

r³ = 30/3.14

r = 2.12

r is the radius of the sphere

Since we are to find the volume of a sphere with twice the radius, then;

R = 2r

The formula becomes

V = 4/3π(2r)³

V = 4/3π8r³

V = 32π(2.12)³/3

Given

V = 32π(9.55)/3

V = 320units³

Hence the required volume is 320units³