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

Two similar cylinders have diameters as shown below.(Note: The figures are not drawn-example-1
User Zhihuifan
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1 Answer

5 votes

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.

User Paulcab
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