Maths-
General
Easy
Question
A cone has slanted height of 5cm and height of 4cm, its volume (in cm3 ) is
__________
- 38.71
- 36.50
- 37.00
- 37.68
Hint:
Volume of a cone = (1/3)πr2h
By applying Pythagoras theorem on the cone, we can find the relation between volume and slant height of the cone.
We know, h2 + r2 = L2
where,
h is the height of the cone,
r is the radius of the base, and,
L is the slant height of the cone.
The volume of the cone in terms of slant height can be given as
V = (1/3)πr2h = 
The correct answer is: 37.68
We have given that
Slanted height L = 5 cm
Height, h = 4cm
From these given values we can find the radius of base of cone
We know that
h2 + r2 = L2
r2 = L2 - h2
= 52 – 42
= 25 – 16
r2 = 9
r= 3
So, the volume of cone = (
)πr2h
= ()(3.14)(3 x 3)(4)
= 3.14 x 3 x 4
= 37.68
Therefore, the correct option is d) 37.6
So, the volume of cone = (
)πr2h)(3.14)(3 x 3)(4)Therefore, the correct option is d) 37.6
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