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Volumes Practice Test 1

Question : 1 of 40

Marks: +1, -0

Solution: 👈: Video Solution

Concept:

The volume of a cylinder is calculated using its base radius and height:

V=\pi r^2h

Explanation:

Given circumference of the base

=88\ \mathrm{cm}

Using

2\pi r=88

, find the radius:

r=\frac{88}{2\pi}=\frac{88\times7}{2\times22}=14\ \mathrm{cm}

Height

h=42\ \mathrm{cm}

Now calculate the volume:

V=\pi r^2h=\frac{22}{7}\times(14)^2\times42

V=\frac{22}{7}\times196\times42=22\times28\times42=25872\ \mathrm{cu\ cm}

Answer:

The volume of the cylinder is

25872\ \mathrm{cu\ cm}

, so option A is correct.

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