Question

The diameter of the base of a cone of height 15cm and volume 770cm³ is with full methord​

Answer 1

Answer:

Given:

A cone of height 15cm and volume 770 cm³

To find:

The diameter of the base of a cone

Solution:

The height of the cone, h = 15 cm

The volume of the cone, V = 770 cm³

Let "r" represent the radius of the base of the cone.

We know,

Volume of a cone =1/3 #r²h

Now, substituting the given values in the formula of a cone above, we get

770 = 22/7 x r Square x 5

r Square = 770 x 7 / 22 x 5

r Square = 7 x 7

r = 7 cm - base radius of the cone

:. Base diameter = 2 x r = 2 x 7 = 14 cm

Thus, the final answer is → option (b) → The diameter of the base of the cone is 14 cm.

Step-by-step explanation:

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