The radius and slant height of a right circular cone are in the ratio of 7:13 and its csa is 286 cm ^2.Find its radius
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5
The ratio of the radius and height of the cone is 4 : 7.
Let the radius of the cone be 4x and the height be 7x
So,
Curved surface area of the cone = πrl
792 = 22/7*4x*7x
x² = (792*7)/(22*4*7)
x² = 9
x = √9
x = 3 cm
So, the radius of the cone = 4 × 3 = 12 cm.
Let the radius of the cone be 4x and the height be 7x
So,
Curved surface area of the cone = πrl
792 = 22/7*4x*7x
x² = (792*7)/(22*4*7)
x² = 9
x = √9
x = 3 cm
So, the radius of the cone = 4 × 3 = 12 cm.
Answered by
1
Answer:
Step-by-step explanation:
r=4x
l=7x
C.S.A=792cm^2
792=22/7×4x×7x
x^2=(792×7)(22×4×7)
x^2=9
x=3
r=4x=4×3=12
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