Question

What is the ratio of sum of volumes of two hemispheres of radius 1cm each to the volume of a sphere of radius 2cm?
a) 1:1 b) 1:8 c) 8:1 d)1:16

Answer 1

Answer:

1:8 is the answer.

Step-by-step explanation:

radius of sphere =2cm

radius of hemisphere =1cm

Volume of hemisphere =2×2/3πr^3

=2×2/3×22/7×1

=4/3×22/7

=88/11__________(1)

Volume of sphere =4/3πr^3

=4/3×22/7×2×2×2

=88/21×8

=704/21___________;(2)

ratio of volume of hemisphere and sphere.

from equation (1). =88/21

from equation. (2). =704/21

=1/8. = 1:8