Question

If height of two cylinders are equal and their radii are in ratio of their volumes 7:5 then ratio of their volumes is

Answer 1

Answer:

49:25

Step-by-step explanation:

By the formula

v =

$v = \pi {r}^{2} h \div \pi{r}^{2} h$

v = pi × 7^2h/pi × 5^2h

v = 49pi × h/25 pi × h

( cancellation of pi × h from both)

v = 49/25

ratio = 49:25

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Answer 2

Given

• Height of 2 cylinders are equal and their radi are of the ratio 7:5

To Find

• Ratio of their volume?

Steps

Let the radii be 7r, 5r of two Cylinder.

Let the height be h and h.

Then, Using Formula of Volume

Volume = πr²h

thus, according to the question

Volume = πr²h /πr²h

Volume = π×(7r)² × (h) / π ×(5r)² × h

Volume. = 49r²× h/25r²× h

Volume = 49/25

Therefore, the ratio of their volume is 49:25

$\rule{110}2$