Question

35. A right circular cylinder whose radius is r. If the diameter of the base of a closed right circular cylinder be
equal to its height 'h' then find its curved surface area in the terms of r.
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Answer 1

Step-by-step explanation:

Let the radius of the cylinder is r and height is h

∴ Volume of the cylinder = π r 2 h

According to the question new radius is half of the initial radius

∴New radius

$\frac{r}{2}$

Height is h.

∴New volume of the cylinder

$= \pi { (\frac{r}{2} )}^{2}h \\ = \pi { \frac{r}{4} }^{2} h$

∴ The ratio of the new volume of the cylinder and initial volume of the original cylinder=

$\pi {r}^{2} h = \frac{1}{4}$

∴ Ratio =1:4.