Question

Two cylindrical vessel have their base radii as 16 cm and 8 cm respectively, if their heights are 8 cm and 16 cm respectively, then find the ratio of their volume.
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Answer 1

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Answer 2

The ratio of their volumes is 2:1

Step-by-step explanation:

Radius of cylinder 1 = 16 cm

Height of cylinder 1 = 8 cm

Volume of cylinder 1 =$\pi r^2 h = \frac{22}{7} \times (16)^2 (8)$

Radius of cylinder 2 = 8 cm

Height of cylinder 2 = 16 cm

Volume of cylinder 2 =$\pi r^2 h = \frac{22}{7} \times (8)^2 (16)$

Ratio of their volumes = $\frac{\frac{22}{7} \times (16)^2 (8)}{\frac{22}{7} \times (8)^2 (16)}\pi r^2 h = \frac{22}{7} \times (8)^2 (16)$

Ratio of their volumes = 2:1

Hence the ratio of their volumes is 2:1

#Learn more:

A cylinder and a come have base radii 5 cm and 3 cm respectively and their respective heights are 4 cm and 8 cm,find the ratio of their volumes.

https://brainly.in/question/7987117