Question

the radius of a cyclinder is 10 cm and its height is 14 cm . find the ratio of its volume to the new volume when its radius is halved and its height is doubled​

Answer 1

Answer:

the ratio of original volume to new volume is 2:1

Answer 2

Answer:

The ratio is 2:1.

Step-by-step explanation:

Given :

$R_1 = 10cm\\H_1 = 14cm\\R_2 = 5cm\\H_2 = 28cm$

Therefore, the volumes before and after alteration of dimensions are :

$V_1 = \pi*r_1^{2}*h_1\\V_1 = \pi*10^2*14 = 1400\pi\\V_2 = \pi*r_2^{2}*h_2\\V_2 = \pi*5^2*28 = 700\pi$

Therefore, $\frac{V_1}{V_2} = \frac{1400\pi }{700\pi } = \frac{2}{1}$