The radius and slant height of a cone are in the ratio of 2: 7. If its curved surface area is 704 cm^2. find its radius, slant height and height
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The ratio of the radius and height of the cone is 2 : 7.
Let the radius of the cone be 2x and the height be 7x
Step-by-step explanation:
So,
Curved surface area of the cone = πrl
792 = 22/7*2x*7x
x² = (792*7)/(22*2*7)
x² = 18
x = √18
x = 4.24 cm
So, the radius of the cone = 4 × 4.24 = 16.96cm
or
x=√18 then
the radius of the cone = 4 x √18= 4√18
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