Question

If radius of two hemispheres are in ratio 3:4, find the ratio of their
volumes. ?

Answer 1

Answer:

27/64

Step-by-step explanation:

=> volume of a hemisphere = 2πr^3/3

=> let the radius of first hemisphere be r1 and that of second be r2

=> therefore, ratio of volumes of two hemispheres be$\frac{\frac{2\pi (r1)^3 }{3} }{\frac{2\pi (r2)^3 }{3} } = \frac{(r1)^3}{(r2)^3}$

=> we are given r1/r2 = 3/4

=> Therefore $\frac{(r1)^3}{(r2)^3} = (\frac{3}{4})^3$

=> 27/64

Thank You !!



Answer 2

Answer:

27/64

Step-by-step explanation:

=> volume of a hemisphere = 2πr^3/3

=> let the radius of first hemisphere be r1 and that of second be r2

=> therefore, ratio of volumes of two hemispheres be

=> we are given r1/r2 = 3/4

=> Therefore  

=> 27/64

Thank You !!