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Masteriza [31]
3 years ago
10

What is the exact volume of the cone, height is 16ft and the radius is 5 ft.

Mathematics
2 answers:
Marina CMI [18]3 years ago
8 0
V = 1/3πr²h
V = 1/3(3.14)(5)²16
V = 1/3(3.14)(25)(16)
V = 1/3(3.14)(400)
V = 1/3(1256)
V ≈ 418.67ft³
dedylja [7]3 years ago
4 0
V=<span><span>π <span>r^2</span></span><span>h/<span>3

V = </span></span></span>π r 5^2 16/3

Raise 5<span> to the </span>power<span> of </span>2<span> to get </span><span>25.
</span><span>V=π*25*<span>16/3

</span></span>Move 25<span> to the left of the </span>expression <span><span>π⋅25</span>.
</span><span>V=25*π*<span>16/3

</span></span>Multiply 25<span> by </span>π<span> to get </span><span><span>25π</span>.
</span><span>V=25π*<span>16/3
</span></span>
Multiply <span>25π</span><span> by </span><span>163</span><span> to get </span><span><span>25π(<span>16/3</span>)</span>.
</span><span>V=25π(<span>16/3</span>)</span>

Simplify

Multiply 16<span> by </span>25<span> to get </span><span>400.</span> 
<span>V=(<span>400/3</span>)π</span><span> 
</span>
Combine <span>400/3</span><span> and </span><span>π/1</span><span> to get </span><span><span><span>400π/</span>3</span>.
</span><span>

V=<span><span>400π/</span>3</span></span> 
V≈<span>418.8790</span>


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