The ratio of the radii of two cylinders is 2: | vedclass

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

Question

(B) The volume of a cylinder is given by the formula $V = \pi r^2 h$.Let the radii of the two cylinders be $r_1$ and $r_2$,and their heights be $h_1$

Vedclass · Accepted Answer

$20:27$

Vedclass · Answer

(B) The volume of a cylinder is given by the formula $V = \pi r^2 h$.Let the radii of the two cylinders be $r_1$ and $r_2$,and their heights be $h_1$ and $h_2$.Given that $r_1:r_2 = 2:3$ and $h_1:h_2 = 5:3$.The ratio of their volumes is $\frac{V_1}{V_2} = \frac{\pi r_1^2 h_1}{\pi r_2^2 h_2} = \left(\frac{r_1}{r_2}ight)^2 	imes \left(\frac{h_1}{h_2}ight)$.Substituting the given values: $\frac{V_1}{V_2} = \left(\frac{2}{3}ight)^2 	imes \left(\frac{5}{3}ight) = \frac{4}{9} 	imes \frac{5}{3} = \frac{20}{27}$.Therefore,the ratio of their volumes is $20:27$.

The ratio of the radii of two cylinders is $2:3$,and the ratio of their heights is $5:3$. The ratio of their volumes will be

Similar Questions

$A$ box contains $210$ coins of denominations $Rs. 1$ and $50$ paise. The ratio of their respective values is $13: 11$. The number of $Rs. 1$ coins is:

Annual incomes of Amit and Varun are in the ratio $3:2,$ while the ratio of their expenditures is $5:3.$ If at the end of the year each saves $Rs. 1000,$ the annual income of Amit is (in $Rs.$):

At present,the ratio between the ages of Arun and Deepak is $4:3$. After $6$ years,Arun's age will be $26$ years. What is the age (in years) of Deepak at present?

If $3P = 2Q$ and $2Q = 3R$,then what is $P:Q:R$?

Among $132$ examinees of a certain school,the ratio of successful to unsuccessful students is $9:2$. Had $4$ more students passed,then the ratio of successful to unsuccessful students would have been:

Vedclass Test Series

Exam Paper Generator

Online Exam Module