Mathematics: The volume of a cylinder is 40 f3. Which expression represents the volume of a cone with the same base and height as the cylinder? O 3(40) ft O 1 40 O (40) At o 3 (402)

(0, -1) (2,4) 4 - -1/ 2 - 05/2The answer will be D...

The volume of a cylinder is 40 f3. Which expression - id40313367335, beserkerbradley7985

dannnaa

19.06.2021

Option (3)

Step-by-step explanation:

Volume of the cylinder = 40 ft³

Since, volume of a cylinder is given by the expression,

V = $\pi r^{2}h$

Here, r = radius of the circular base

h = Height of the cylinder

40 = $\pi r^{2}h$

$h=\frac{40}{\pi r^2}$ ------(1)

Volume of a cone = $\frac{1}{3}\pi r^{2} h$

By substituting the value of 'h' from equation (1)

Volume of the cone = $\frac{1}{3}\pi r^{2}(\frac{40}{\pi r^{2} } )$

= $\frac{1}{3}(40)$ ft³

Therefore, Option (3) will be the correct option.

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