If a solid of one shape is converted to another.

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If a solid of one shape is converted to another, then the surface area of the new solid
(a) remains same
(b) increases
(c) decreases
(d) can’t say

Solution:

If a solid of one shape has conversed into another then
the surface area of the new solid will same or not same
i.e. can’t say. (d)

If a marble of radius 2.1 cm is put into a cylindrical cup full of water of radius 5 cm and height 6 cm, then the volume of water that flows out of the cylindrical cup is
(a) 38.8 cm3
(b) 55.4 cm3
(c) 19.4 cm3
(d) 471.4 cm3

Solution:

Radius of a marble = 2.1 cm
Volume of marble = \frac { 4 }{ 3 } \pi { { r }^{ 3 }\quad cm }^{ 3 }
= \\ \frac { 4 }{ 3 } x \\ \frac { 22 }{ 7 } × 2.1 × 2.1 × 2.1 cm3
= 38.88 cm3
= 38.8 cm3 (a)

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