Radius of a cylinder is equal to the side of an equilateral triangle having area 16√3 cm⊃2; and height of the cylinder is equal to the perimeter of the triangle. Then find the volume of cylinder.
Answer: A
Area of equilateral triangle = 16√3 cm⊃2;
WKT, Area of equilateral triangle = √3/4 a2
√3/4 a⊃2; = 16√3
a⊃2; = 64
a = 8 cm
Side of an equilateral triangle = Radius of a cylinder
a = r
r = 8cm
Perimeter of equilateral triangle = 3a = 3(8) = 24 cm
Perimeter of equilateral triangle = Height of cylinder
So, h = 24 cm
Volume of cylinder = πr⊃2;h
= π x 8 x 8 x 24
= 1536π cm⊃3;.