Question : If the radius of a sphere is increased by 2.5 decimetres (dm), then its surface area increases by 110 dm
(Take
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution :
The radius of a sphere is increased by 2.5 decimeters (dm),
then its surface area increases by 110 dm
2
We know that,
The surface area of the sphere =
The volume of sphere =
Where r = radius and
a
2
– b
2
= (a + b)(a - b)
According to the question,
⇒
⇒
⇒
⇒
⇒
⇒
Now,
Volume =
=
=
=
Hence, the correct answer is
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