Then the volume of the earth dug out is

If a well of diameter 8 m has been dug to the depth of 14 m, then the volume of the earth dug out is
(a) 352 m³
(b) 704 m³
(c) 1408 m³
(d) 2816 m³

Solution:

Diameter of a well = 8 m
Radius (r) = = 4m
Depth (h) = 14 m
Volume of the earth dug put = πr²h
= × 4 × 4 × 14 m³
= 704 m³ (b)

If two cylinders of the same lateral surface have their radii in the ratio 4 : 9, then the ratio of their heights is
(a) 2 : 3
(b) 3 : 2
(c) 4 : 9
(d) 9 : 4

Solution:

Ratio in two cylinder having same lateral surface area their radii is 4 : 9
Let r₁ be the radius of the first and r₂ be the second cylinder
and h₁, h₂ and their heights

Ratio in their heights = 9 : 4 (d)

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