Question 115

The volumeofa solid right circular cylinder is 5236 cm$$^3$$, and its height is 34 cm. What is its curved surface area (in cm$$^2$$)? (Take $$\pi = \frac{22}{7}$$)

Solution

The volume of a right circular cylinder is 5236 $$cm^2$$

and its height is 34 cm

then V = 5236

$$\Rightarrow \pi r^2 h =5236 $$

$$\Rightarrow r^2 = \dfrac {5236}{\dfrac{22}{7} {34}}$$

$$\Rightarrow r^2 = 49 $$

$$\Rightarrow r = 7 $$

so curved surface area = $$2\pi r h $$

$$\Rightarrow 2 \dfrac{22}{7} \times 7 \times 34 $$

$$\Rightarrow 1496 cm^2 $$ Ans

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