The volume two hemisphere are in ratio 27:125 find the ratio and their radius
Answers
Answered by
4
GIVEN: ratio of volumes of the two
spheres = 27:125
Let the radius of one of the hemisphere be 'R'
And radius of another hemisphere be 'r'
Volume of a hemisphere = 2/3πr^3
Now,
Ratio of their
volume = 2/3πR^3 ÷ 2/3πr^3
= 2/3πR^3 × 3/2πr^3
27/125 = R^3/r^3
27/125. = (R/r)^3
^3√27/125 = R/r
3/5 = R/r
R:r = 3:5
spheres = 27:125
Let the radius of one of the hemisphere be 'R'
And radius of another hemisphere be 'r'
Volume of a hemisphere = 2/3πr^3
Now,
Ratio of their
volume = 2/3πR^3 ÷ 2/3πr^3
= 2/3πR^3 × 3/2πr^3
27/125 = R^3/r^3
27/125. = (R/r)^3
^3√27/125 = R/r
3/5 = R/r
R:r = 3:5
Similar questions