A tent is cylindrical at the bottom and conical at the top. The cylindrical part is 4.2 m in diameter and 8 min height. The height of the matching cone on the cylinder is 6 m. Find the volume of air inside the tent.
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Answer:
Diameter=4.2m
Step-by-step explanation:
CYLINDER:
Radius of the cylinder=diameter/2
=4.2/2
=2.1 m
Height of the cylinder= 8 m
CONE:
Radius of the cone=2.1 m
Height of the cone= 6 m
VOLUME OF CYLINDER + VOLUME OF CONE =
= π r² h + 1/3 π r² h
= 22 / 7 × 2 . 1 × 2 . 1 × 8 + 1/3 ×π × 2 . 1 × 2 . 1 × 6
= 22 / 7 × 21 /10 × 21 /10 + [8 + 6/3]
= 22 / 7 × 21 / 10 × 21 / 10 + [ 8 + 2]
= 22 / 7 × 21 / 10 × 21 / 10 + 10
= 22 × 3 / 10 × 21
= 66 × 21 / 10
= 1386 / 10
= 138.6 m³ .
Therefore, The Volume of air inside the tent is 138.6 m³ .
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