The volume of a right circular cylinder, 14 cm in height is equal to t

1.	The volume of a right circular cylinder, 14 cm in height is equal to that of a cube whose edge is 11 cm. The radius of the base of the cylinder is (a) 5.2 cm (b) 5.5 cm (c) 11 cm (d) 22 cm
Answer» (b) 5.5 cm Let the radius of the base of the cylinder be r cm. Then, \(\frac{22}{7}\times{r}^2\times14=(11)^3\) ⇒ r² = \(\frac{11\times11\times11\times7}{22\times14}\) = \(\frac{121}{4}\) ⇒ r = \(\sqrt{\frac{121}{4}}=\frac{11}{2}\) = 5.5 cm.

The volume of a right circular cylinder, 14 cm in height is equal to that of a cube whose edge is 11 cm. The radius of the base of the cylinder is (a) 5.2 cm (b) 5.5 cm (c) 11 cm (d) 22 cm

Answer»

(b) 5.5 cm

Let the radius of the base of the cylinder be r cm. Then,

\(\frac{22}{7}\times{r}^2\times14=(11)^3\)

⇒ r² = \(\frac{11\times11\times11\times7}{22\times14}\) = \(\frac{121}{4}\)

⇒ r = \(\sqrt{\frac{121}{4}}=\frac{11}{2}\) = 5.5 cm.