radius and slant height of the cone are in the ratio of 4:7 curved surface area is 792 CM square find its radius also find the total surface area
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Step-by-step explanation:
Area of cone = 792 cm2
ratio = 4:7
= 4x : 7x
Π = 22/7
Area of cone = Π rl
792cm2 = 22/7 × 4x × 7x
792cm2 = 22/7 × 28 x2
792cm2 = 616x2/7
792cm2 = 88x2
x2 = 792cm2 /88
x2 = 9cm2
x = √ 9 cm2
x = 3cm
radius = 4x = 4× 3 = 12cm
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