Question

volume of the volume of a cylinder is three times the volume of a dash on the same base and of the same height​

Answer 1

Answer:

dash _ = Cone

Volume of cylinder is three times the volume of a cone on the same base and of the same height.

Step-by-step explanation:

Let the volume of cylinder be 'V'. Then,

V = πr^2h ....(1)

where,

r = radius od base of cylinder

h = height of cylinder

Let the volume of the required solid be ' B '.

It is given that both the cylinder and the required solid are on the same plane.

According to the question,

V = 3B

Volume of cylinder = 3(Volume of the required solid )

=> V = 3B

=> B = V/3

=> B = 1/3×V ...(2)

From eq.(1) and eq.(2) , we get

B = 1/3×(πr^2h) ...(5)

where,

r = radius of base of cylinder

h = height of cylinder.

We know that,

Volume of cone = 1/3πr^2h ...(4)

Thus,

From eq.(4) and eq.(5) , we get

The required solid = cone

Hence,the required answer = Cone

Answer 2

Answer:

cone

Step-by-step explanation:

V=πr2hIf a cone and a cylinder have bases (shown in color) with equal areas, and both have identical heights, then the volume of the cone is one-third the volume of the cylinder.