question_answer

A right\[\Delta ABC\] with sides 5 cm, 12 cm and 13 cm is revolved about the side. 12 cm. What is the volume of the sold so obtained?

A)  \[50\,\,\pi \,\,\text{cu}\,\,\text{cm}\]

B)  \[100\,\,\pi \,\,\text{cu}\,\,\text{cm}\]

C)  \[125\,\,\pi \,\,\text{cu}\,\,\text{cm}\]     

D) \[150\,\,\pi \,\,\text{cu}\,\,\text{cm}\]

Correct Answer: B

Solution :

Volume of cone\[=\frac{1}{3}\pi {{r}^{2}}h\] \[=\frac{1}{3}\pi \times {{5}^{2}}\times 12=100\pi \,\,\text{cu}\,\,\text{cm}\]