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WAEC Mathematics 2025 Paper
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© africaexams.com
Question : 26
Total: 50
A hollow sphere has a volume of k cm
3
^3
3
and a surface area of k cm
2
^2
2
. Calculate the diameter of the sphere.
3 cm
9 cm
More information needed.
6 cm
Validate
Solution:
Volume of sphere =
4
3
\frac{4}{3}
3
4
πr
3
^3
3
Surface area of sphere = 4πr
2
^2
2
Since volume and area = k cm
3
^3
3
and k cm
2
^2
2
4
3
\frac{4}{3}
3
4
πr
3
^3
3
= 4πr
2
^2
2
4
3
\frac{4}{3}
3
4
r
3
^3
3
= 4r
2
^2
2
4πr
3
^3
3
= 12πr
2
^2
2
r
3
^3
3
- 3r
2
^2
2
= 0
r
2
^2
2
(r - 3) = 0 ⇒ r = 3 cm
© africaexams.com
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