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# Volume and Surface Area Questions

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The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.

A30π m2

B40π m2

C60π m2

D80π m2

Explanation:

l = 10m
h = 8m
so r = âˆš(l^2 - h^2) = âˆš(10^2 - 8^2) = 6m
So Curved surface area = (π * r * l) = ( π * 6 * 10) m2 = 60π m2.

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A circular tent is cylindrical to a height of 3 meters and conical above it. If its diameter is 105 m and the slant height of conical portion is 53m, calculate the length of the canvas 5 m wide to make the required tent?

A973.5

B3894

C1800

D1947

Explanation:

Surface area of Tent= surface area of the cylinder + surface area of the cone
=(2*pi*r*h)+ (pi*r*l)
=2*(22/7)*(105/2)*3+(22/7)*(105/2)*53
=9735 sq.m
l*b=9735
b=5m,
l=9735/5 => l=1947m

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What is the volume of hemisphere of radius 5 cm?

A250/3 pi

B500/3 pi

C50/3 pi

D350/3 pi

Explanation:

Volume of a hemisphere= 2/3 *pi* r^3

2/3* pi* 5^3= 250 pi/3

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