Find the weight of a solid cone whose base is of diameter 14 cm and vertical height 51 cm, supposing the material of which it is made weighs 10 grams per cubic cm.
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4
Answer:
d=14cm
r=7cm
h=51cm
v=1×22×7×7×51÷(3×7)
=2618 cubic cm
1 cubic cm.....10gr
2618 cubic cm......?
2618×10
26180gr
26180÷1000
26.18 kg
Answered by
1
The weight of solid cone is 26.18 kg
Diameter of cone = 14cm (Given)
Vertical height = 51cm (Given)
Weight of material = 10gm (Given)
Volume of Cone = 1/3 πr²h
= 1/3 × 22/7 × 14/2 × 14/2 × 51
= 1/3 × 22 × 7 × 51
= 2618
Thus, the volume of cone is 2618cm³
1 cm³ = 10gm = 2618cm³
= 2618 × 10
= 26180gm
Therefore, weight of solid cone -
26180gm = 26.18 kg
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