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The vertical height of a right circular conical tent is 4m and the volume of space inside it is 968/7 cubic metre. Find the canvas required to make the tent.

User Wanjia
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1 Answer

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the equation for the volume of a conical tent is
v = 1/3 * height * area of the base
= 1/3 ×hπr²
where v - volume
h - height of the conical tent
r - radius of base circle
area of the base = 3v/h
πr² = 3 *968/7 m³ /4 m
r² = 3 * 968 * 7 / (7 * 22* 4 )
= 33
r = 5.74 m
area of the curved surface = πrl
where l is the slant height
l² = r² + h²
= 5.74² + 4²
= 33 + 16
= 49 m
l = 7 m
then the area of the curved surface is ;
area = πrl
= (22/7) * 5.74 * 7
= 126.28 m²
the canvas should have area 126.28 m² to cover the tent
User Vitalii Ivanov
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