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3 years ago

What is the volume of this cone?

Mathematics

1 answer:

Anna71 [15]3 years ago

6 0

Answer:

1,570 cubic cm

Step-by-step explanation:

Given,

Radius of the cone = 10 cm

Height of the cone = 15 cm

Therefore, volume of the cone

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

$= \frac{1}{3} \times 3.14 \times 10 \times 10 \times 15$

= <u>1,570 cubic cm (Ans)</u>

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So.. if hmm check the picture below, the radius is half that diameter

thus $\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad 
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\\\\\\
V=\pi \cdot \cfrac{9}{16}\cdot \cfrac{5}{2}\impliedby \textit{how much is }\frac{3}{4}\textit{ of that?}
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simplify that away

now.. that's how much is in the cooler in cubic feet though, not in gallons

notice, our units were in feet, thus our volume is also in feet, just cubics

so. to know how many gallons, simply divide that by 231

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