Mensuration Practice Test 5

Question : 3 of 40

Marks: +1, -0

Find the total surface area of 15 same-sized spheres made from melting 4 same-sized solid cylinders whose height and radius is 30 m and 6 m respectively.

7,868 $m^2$
6,878 $m^2$
6,788 $m^2$
8,678 $m^2$

Validate

Solution:

Volume of 4 cylinders = Volume of 15 spheres.

4 × {22}/7 × 6 × 6 × 30

4/3 × {22}/7 × r^3 × 15

r^3

3/4 × 6 × 6 × 60 × 1/{15} × 4

r = 6 m
Surface area of 15 spheres =

4πr^2

× 15
=

4× {22}/7

× 6 × 6 × 5 =

6788 m^3

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