Question

An inverted cone of height 15 cm and base radius 4 cm contains water to a depth of 10 cm. Calculate the volume of water in the cone.
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Answer 1

Answer:

Volume of cone =1/3PIErsquareh

                    = 1/3 x pie x 4 x 4 x 15

                = 2268

Answer 2

Answer:

74.46 or 74.5 when rounded up

Step-by-step explanation:

Ok basically, we are going to have to find the inner radius of the cone. How? using ratio.

So the ratio of the heights are equal to ratio of the radiuses

$\frac{15}{10} = \frac{4}{x}$

to find x, we multiply 4 and 10 and then divide it by 15. This gives us the inner radius = $\frac{8}{3}$

Now use the formula for finding the volume of a cone :

$\frac{1}{3} * \pi * r^{2} * h$

$\frac{1}{3} * \pi * \frac{8}{3} ^{2} * 10$

Thus giving the answer 74.46 or 74.5

Hope this was easy to understand!