Question

The radius of the base and the height of a right circular cylinder are each increased by 10% Then the volume of the cylinder is increased by​

Answer 1

Step-by-step explanation:

• As the volume of cylinder is

$\pi {r}^{2} h$

• As the radius and the height are increased by 10% so both radius and height will become 1.1r & 1.1h
• So after applying the values of r and h in the formula we will have the following expression.
• $\pi {r}^{2} h \\ \pi (1.1r)^{2} (1.1h) \\ \pi\times 1.21 {r}^{2} \times 1.1h \\ = 1.331 \: \pi {r}^{2} h \\ \\ 1.331 \: \pi {r}^{2} h \div \pi {r}^{2} h \times 100 \\ = 133\%$
• The total percentage increase in volume will be 33%