Question

Ratio of slant height of cone to height of cylinder given same volume

Answer 1

CONE
Volume=1/3π×r×r×h
or, V¹ = 1/3π×r×r×h
Slant height =πrl
CYLINDER
Volume=π×r×r×h=V²
A.T.Q
V¹=V²
= πr×rh=πrl
r×h=√h²+r²
h=√h²+r²/r
Slant height: height
=√h²+r²:√h²+r²/r
=1:1/r
r:1