Solve this: Q The radius and slant height of a cone are in the ratio of 3 : 5 - Maths - Surface Areas and Volumes

Question

Solve this:
Q The radius and slant height of a cone are in the ratio of 3 : 5
If its curved surface area is 2310 c m 2 Find its radius, height
and slant height (Use π = 22 7 )

Neha Sethi · Accepted Answer

Dear student
Let the radius of the cone be r=3x and  its slant height be l=5xThe curved surface area=2310cm2πrl=2310⇒227×3x×5x=2310⇒330x2=16170⇒x2=49⇒x=7 or x=-7 rejectedSo, Radius=3x=3×7=21cmSlant height=5x=5×7=35cmHeight=l2-r2=352-212=1225-441=784=28cm
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Solve this: Q. The radius and slant height of a cone are in the ratio of 3 : 5. If its curved surface area is 2310 c m 2 . Find its radius, height and slant height. (Use π = 22 7 )

Solve this:
Q. The radius and slant height of a cone are in the ratio of 3 : 5. If its curved surface area is 2310 $c m^{2}$ . Find its radius, height and slant height. (Use $π = \frac{22}{7}$ )