A right triangle ABC with sides 5 , cm, 12 , | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) $1$. When the triangle is revolved about the side $12 \, cm$:Height $(h) = 12 \, cm$,Radius $(r) = 5 \, cm$.Volume $V_1 = \frac{1}{3} \pi r^2 h =

Vedclass · Accepted Answer

$5:12$

Vedclass · Answer

(C) $1$. When the triangle is revolved about the side $12 \, cm$:Height $(h) = 12 \, cm$,Radius $(r) = 5 \, cm$.Volume $V_1 = \frac{1}{3} \pi r^2 h = \frac{1}{3} 	imes \pi 	imes (5)^2 	imes 12 = 100 \pi \, cm^3$.$2$. When the triangle is revolved about the side $5 \, cm$:Height $(h) = 5 \, cm$,Radius $(r) = 12 \, cm$.Volume $V_2 = \frac{1}{3} \pi r^2 h = \frac{1}{3} 	imes \pi 	imes (12)^2 	imes 5 = 240 \pi \, cm^3$.$3$. Ratio of the volumes:Ratio $= \frac{V_1}{V_2} = \frac{100 \pi}{240 \pi} = \frac{100}{240} = \frac{5}{12} = 5:12$.

Similar Questions

The height and the slant height of a cone are $21 \, cm$ and $28 \, cm$ respectively. Find the volume of the cone. (in $, cm^3$)

Write True or False and justify your answer in each of the following: If the radius of a right circular cone is halved and height is doubled,the volume will remain unchanged.

The radius and slant height of a conical vessel are $21 \,cm$ and $29 \,cm$ respectively. What is its capacity in litres?

$A$ cone of height $12 \, cm$ has a volume $616 \, cm^3$. Then its diameter is $\ldots \ldots \ldots \, cm$.

Find the capacity in litres of a conical vessel with radius $7 \, cm$ and slant height $25 \, cm$. (in $, l$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module