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

$A, B, C$ and $D$ share a property worth $₹ 77500$. If $A:B = 3:2$,$B:C = 5:4$ and $C:D = 3:7$,find the share of $B$ (in $₹$).

The ratio of the sum of two numbers and their difference is $5:1$. The ratio of the greater number to the smaller number is

$A$ person distributes his pens among four friends $A, B, C$ and $D$ in the ratio $\frac{1}{3}: \frac{1}{4}: \frac{1}{5}: \frac{1}{6}$. What is the minimum number of pens that the person should have?

One year ago,the ratio of Ramu's and Somu's ages was $6:7$ respectively. Four years hence,their ratio will become $7:8$. How old (in years) is Somu?

If $\frac{A}{3} = \frac{B}{2} = \frac{C}{5},$ then what is the value of the ratio $(C+A)^{2} : (A+B)^{2} : (B+C)^{2} ?$

Vedclass Test Series

Exam Paper Generator

Online Exam Module