Answered

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A cone has a height of 15 yards and a radius of 11 yards. What is its volume?Use a ~ 3.14 and round your answer to the nearest hundredth.cubic yardsSubmit+

Sagot :

Okay, here we have this:

Considering the provided information, we are going to calculate the volume of the cone, so we obtain the following:

We will substitute in the following formula for the volume of a cone:

[tex]V=\frac{1}{3}\pi R^2h[/tex]

Replacing we obtain:

[tex]\begin{gathered} V=\frac{1}{3}\pi(11yd)^2\cdot(15yd) \\ V=\frac{1}{3}\pi121yd^2\cdot15yd \\ V=5yd\cdot121yd^2\cdot\pi \\ V=605\pi yd^3 \\ V=605(3.14)yd^3 \\ V=1899.7yd^3 \end{gathered}[/tex]

Finally we obtain that the volume of the cone is approximately 1899.7yd^3.

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