Hi friends,
In a right circular cone, the height is 3 times the radius of the base. If it's volume is 134.75cm^3, find
(A) the area of the base
(B) the curved surface area.
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Answered by
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Let the radius be x cm.
Then height = 3x cm.
Volume of cone = 1/3 r^2 h
1/3 *22/7 * x^2 * 3x = 134.75
x^3 = 42.875
x = 3.5
Radius = 3.5cm
Height = 10.5 cm
Area of base = r^2
= 22/7 * (3.5)^2
=38.5 sq. cm.
l =
= 11.06 (approx.)
C.S.A. = r l
= 22/7 * 3.5 * 11.06
= 121.66 sq.cm.
Then height = 3x cm.
Volume of cone = 1/3 r^2 h
1/3 *22/7 * x^2 * 3x = 134.75
x^3 = 42.875
x = 3.5
Radius = 3.5cm
Height = 10.5 cm
Area of base = r^2
= 22/7 * (3.5)^2
=38.5 sq. cm.
l =
= 11.06 (approx.)
C.S.A. = r l
= 22/7 * 3.5 * 11.06
= 121.66 sq.cm.
Ankit02:
thx a lot
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Answer:
hey here is your answer ...
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