Question

If the ratio of the heights of two cylinders with equal radius is 3:5 , what is the ratio of their volumes?

Options⬇

1.) 9.25
2.) 25.9
3.) 3:5
4.) 5:3​

Answer 1

Answer:

3:5 is the answer of this quesrl3

Answer 2

Question :

If the ratio of the heights of two cylinders with equal radius is 3:5 , what is the ratio of their volumes?

Answer :

$\sf\pink{Given:}$

• Ratio of heights of two cylinders is 3:5 .

• Their radius are equal .

$\sf\pink{To\:find:}$

• Ratio of their volumes ?

Explanation :

• let the two cylinders be C1 and C2 .

• let the height of C1 be 3x .

• Let the height of C2 be 5x .

• Radius of C1 and C2 are "r" and "r" as they have equal radius .

Volume of C1 = πr²h

$\\ \longrightarrow\sf{ \pi {r}^{2}\times 3x}$

Volume of C2 = πr²h

$\\ \longrightarrow\sf{ \pi {r}^{2}\times 5x}$

Ratio = $\sf{\dfrac{volume\:of\:C1}{volume\:of\:C2}}$

Ratio = $\sf{\dfrac{\pi {r}^{2}\times3x}{\pi {r}^{2}\times 5x}}$

• Similar terms get cancelled that is πr²and x

Ratio = $\sf{\dfrac{3}{5}}$

Ratio = 3:5