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प्रश्न
The curved surface area of a cone is 12320 cm2. If the radius of its base is 56 cm, find its height.
उत्तर
Curved surface area = 12320 cm2
Radius of base (r) = 56 cm
Let slant height = l
∴ πrl = 12320
`=> 22/7 xx 56 xx l = 12320`
`=> l = (12320 xx 7)/(56 xx 22)`
`=>` l = 70 cm
Height of the cone
= `sqrt(l^2 - r^2)`
= `sqrt((70)^2 - (56)^2 `
= `sqrt(4900 - 3136)`
= `sqrt(1764)`
= 42 cm
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