Question

Two similar cylinders have diameters as shown below.(Note: The figures are not drawn to scale.)

Answer 1

Given

The two similar cylinders have diameters 6 m and 5 m respectively.

For similar cylinders.

`(r_2)/(r_1)=(h_2)/(h_1)`

Step-by-step explanation

a. The height of cylinder on the left is 36m,

To determine the height on the right .

`\begin{gathered} (3)/(2.5)=(36)/(h_1) \\ h_1=30m \end{gathered}`

Answer

The height on the right is 30 m.

b.The volume of cylinder on left is 216 cubic m.

To determine the volume of cylinder on right.

`(V_2)/(V_1)=(r^3_2)/(r_(^31))`

Substitute the values,

`\begin{gathered} (216)/(V_1)=(3^3)/(2.5^3) \\ V_(_1)=125m^3 \end{gathered}`

Answer

The volume of cylinder right is 125 cubic m.

c. The surface area of cylinder on left is 468 sq.m.

To determine the surface area of cylinder on right.

`(S_2)/(S_1)=(r_2^2)/(r_1^2)`

Substitute the values.

`\begin{gathered} (468)/(S_1)=(3^2)/(2.5^2) \\ S_1=325sq.m \end{gathered}`

Answer

Hence the surface area of cylinder on right is 325 sq.m.