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Volumes Practice Test 3

Question : 11 of 40

Marks: +1, -0

m^2

m^3

Solution:

Concept:

For a cylinder, curved surface area is

2\pi rh

and volume is

\pi r^2h

. Dividing volume by curved surface area gives the radius.

Explanation:

Given:

2\pi rh = 264

and

\pi r^2h = 924

Divide volume by curved surface area:

\frac{\pi r^2h}{2\pi rh}=\frac{924}{264}

\frac{r}{2}=\frac{7}{2}

So,

r=7\,\mathrm{m}

Now use the curved surface area formula:

2\times\frac{22}{7}\times7\times h=264

44h=264

h=\frac{264}{44}=6\,\mathrm{m}

Answer:

The height of the cylindrical pillar is

6\,\mathrm{m}

, so the correct option is B.

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