Question

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone with a height of 7 inches and a radius of 3 inches. Find the volume of the water in the plastic cone cup.

Answer 1

Answer:

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Answer 2

Given:-

• Height of the conical plastic cup = 7 inches

• Radius of the conical plastic cup = 3 inches

To Find:-

• Volume of the Water in the Plastic cone cup.

Formula Used:-

• ${\boxed{\bf{Volume\:of\: Cone= \dfrac{1}{3}\pi r^2 h}}}$

Solution:-

Using Formula,

$\tt :\implies\:Volume\:of\: Cone= \dfrac{1}{3}\pi r^2 h$

Here,

• r = 3 Inches

• h = 7 Inches

Putting values,

$\tt :\implies\:Volume\:of\: Water= \dfrac{1}{3}\times \dfrac{22}{7}\times 3^2 \times 7$

$\tt :\implies\:Volume\:of\: Water= \dfrac{1}{3}\times 22\times 9$

$\tt :\implies\:Volume\:of\: Water= 22\times 3$

$\tt :\implies\:Volume\:of\: Water= 66\:inches^3$

Hence, The Volume of Water in the Cup is 66 inches³.

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More Formula for Cone:-

• $\tt Total\: Surface\: Area= \pi r(l+r)$

• $\tt Curved\: Surface\: Area= \pi rl$

• $\tt Slant\: Height= \sqrt{r^2+h^2}$

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