Mensuration problem: IGCSE Mathematics
Please answer me question number 10 on page 211 from following web address
Please it is urgent
The figure shows that the height of the cylinder is equal to the diameter of the sphere.
The volume of the cylinder is V = Area of the base*height
The base of cylinder is a circle. The radius of this circle is equal to the radius of the sphere.
`V = pi*r^2*(2r) =gt V = 2pi*r^3`
The volume of the sphere is `V_1 = 4pi*r^3/3`
Calculating the ratio of their volumes yields:
`V/(V_1) = (2pi*r^3)/((4pi*r^3)/3)`
Reducing by `2pi*r^3` yields: `V/(V_1) = 3/2`
The ratio of the volumes is: volume of cylinder:volume of sphere=3:2.