Question 42

The curved surface area of a cylinder is 594 cm$$^2$$ and its volume is 1336.5 cm$$^3$$. What is the height (in cm) of the cylinder?

Solution

According to question :

$$2\pi rh=\ 594\ .$$

And,

$$\pi r^2h=\ 1336.50\ $$

So, $$\frac{\pi r^2h}{2\pi rh}=\ \frac{1336.50}{594}=2.25.$$

or, $$\frac{r}{2}=2.25.$$

or, $$r=4.5\ .$$

So, $$2\pi\times4.5\times h=594\ .$$

or, $$h=\frac{594}{9\times\ \frac{22}{7}}=21\ .$$

So, B is correct choice.

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