Question

by a
A circus tent has cylenderical shape
surmounted
conical roof. The
radius
of the cylinderical and conical
portions are 4.2 and 2.1. Find the
volume​

Answer 1

Given :- A circus tent has cylindrical shape surmounted by a conical roof. The radius of the cylindrical base is 20 m. The heights of the cylindrical and conical portions are 4.2 m and 2.1 m respectively. Find the volume of the tent. ?

Solution :-

we know that,

• volume of cylinder = π * (radius)² * height .
• volume of cone = (1/3) * π * (radius)² * height .

given that,

• radius of cylinder = 20m .
• radius of cone = 20m . (radius of base of tent is same.)
• height of cylinder = 4.2m .
• height of cone = 2.1 m.

Putting all values we get,

→ Volume of tent = volume of cylinder + volume of cone

→ Volume of tent = π * (20)² * 4.2 + (1/3) * π * (20)² * 2.1

taking π * (20)² common ,

→ Volume of tent = 400π( 4.2 + (1/3) * 2.1 )

→ Volume of tent = 400π( 4.2 + 0.7)

→ Volume of tent = 400 * π * 4.9

Putting value of π = (22/7) now,

→ Volume of tent = 400 * (22/7) * 4.9

→ Volume of tent = 400 * 22 * 0.7

→ Volume of tent = 280 * 22

→ Volume of tent = 6160 m³ (Ans.)

Hence, Volume of conical tent is 6160m³.

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