Question

A and B are two cylinders that are mathematically similar.

The area of the cross-section
of cylinder A is 18 cm?
18 cm?
B
10 cm
А
5 cm
Work out the volume of cylinder B.

Answer 1

Volume of B is 360
`cm^(3)`

Explanation:

It can be observed in the question that the dimensions of cylinder B are twice the dimensions of cylinder A, since both are similar.

Height of B = 2 x height of A

= 2 x 5

= 10 cm

cross sectional area of B = 2 x cross sectional area of A

= 2 x 18

= 36
`cm^(2)`

Thus,

Volume of B = cross sectional area x height

= 36 x 10

= 360
`cm^(3)`

Volume of B is 360
`cm^(3)`.