Question

prove that the double of the volume of a cylinder is equal to the product of its curved surface area and radius of the base​

Answer 1

Step-by-step explanation:

volume of the cylinder= πr^2h.

the double of the volume of the cylinder= 2(πr^2h).

Now, product of the curved surface area of the cylinder and radius of the base of the cylinder

=2πrh*r

=2πr^2h

since, double of the volume of the cylinder=product of the curved surface area and the radius of the base.

PROVED

Answer 2

we know

volume of cylinder=πr²h and

C.S.A of cylinder = 2πrh

to proof

double volume of cylinder = curve surface area of cylinder × radius

hence

2 × volume = c.s.a × r

we know that,

2× πr²h = 2πrh ×r

2πr²h=2πr²h

proved

hope you understand....