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
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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
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