Question3. Calculate the volume of a cylinder where: a) the area of the base is $30 \mathrm{~cm}^{2}$ and the height is 6 cm . b) the radius of the base is 14 cm and the height is 10 cm .

Studdy Solution
For part (b), recall the formula for the volume of a cylinder using radius and height:
$$V = \pi r^2 h$$
Substitute the given values:
$$V = \pi \times (14 \, \text{cm})^2 \times 10 \, \text{cm}$$
Calculate the volume:
$$V = \pi \times 196 \, \text{cm}^2 \times 10 \, \text{cm}$$ $$V = 1960\pi \, \text{cm}^3$$
Approximate the volume using $\pi \approx 3.14159$:
$$V \approx 1960 \times 3.14159 \, \text{cm}^3$$ $$V \approx 6157.52 \, \text{cm}^3$$
The volumes of the cylinders are:
a) $\boxed{180 \, \text{cm}^3}$
b) $\boxed{6157.52 \, \text{cm}^3}$