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Surface Area of Cylinders - Questions

Question 1
112801

Find the exact surface area of an open cylinder can (one end) with a radius of \(2 \text{ cm}\) and a height of \(10 \text{ cm}\)

\(44 \pi \text{ cm}^2\)

Question 2
112802

Find the exact surface area of a solid cylinder (two ends included) with a radius of \(4 \text{ cm}\) and a height of \(6\text{ cm}\)

\(80\pi \text{ cm}^2\)

Question 3
112800

Find the exact surface area of a hollow cylinder (no ends) with a radius of \(3 \text{ cm}\) and a height of \(8 \text{ cm}\)

\(48 \pi \text{ cm}^2\)

Question 4
112803

A hollow cylinder (no ends) has a surface area of \(30 \pi \text{ cm}^2\). Its radius is \(3 \text{ cm}\), find its height. 

\(5 \text{ cm}\)

Question 5
112804

An open cylindrical can (one end) has a surface area of \(20 \pi \text{ cm}^2\). Given that its height is \(4 \text{ cm}\), find its radius. 

\(2 \text{ cm}\)

Question 6
15124

Calculate, correct to two decimal places, the surface area of a cylinder with a radius 1.6 m and a height of 4.7m

\(63.33~\text{m}^2\)

$$
\begin{aligned}\text{Surface Area}& = \text{Area of 2 ends + Area of the curved surface}\\ & \\
\text{Area}&=2\pi r^2+2\pi rh\\
&=2\times \pi \times 1.6^2+2\times \pi \times 1.6 \times 4.7\\
&=63.3345\ldots~\text{m}^2\\
&\approx 63.33~\text{m}^2
\end{aligned}
$$

Question 7
15125

Calculate, correct to two decimal places, the surface area of a cylinder with one open end, with a diameter of 4 m and a height of 15 m.

\(201.06~\text{m}^2\)

$$
\begin{aligned}
\text{Radius}& = \frac{1}{2}\times 4\\
&=2~\text{m}\\ &\\
\text{Surface Area}&=\text{Area of one end + area of the curved surface}\\
A&=\pi r^2+2\pi rh\\
&=\pi \times 2^2+2\times \pi \times 2\times 15\\
&=201.0619\ldots~\text{m}^2\\
&=201.06~\text{m}^2
\end{aligned}
$$

Question 8
15126

A water tank is in the shape of a cylinder 12 m deep and 4 m in radius. the area of the inside of the tank is to be repainted, including the base of the tank. Find the area to be repainted. 

\(351.9~\text{m}^2\)

$$
\begin{aligned}
\text{Surface Area}&= \pi r^2+2\pi rh\\
&=\pi \times 4\times 4+2\times \pi\times 4\times 12\\
&=351.852\ldots~\text{m}^2\\
&\approx 351.9~\text{m}^2
\end{aligned}
$$

Question 9
15009

Sally made a cylindrical flower pot . She painted the whole outer surface of the pot with red color except top of the pot. Find the surface area of the painted portion (2 decimal places)

\(1737.3~\text{cm}^2\)

Question 10
15010

Find the height of the given cylinder (2 decimal places)

(T.S.A = Total Surface Area)

\(9.51~\text{cm}\)