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love history [14]
3 years ago
13

A sawdust pile has a base diameter of 35 feet when it’s height is 30 feet, find the volume of the pile when it is at 50 feet tal

l
Mathematics
1 answer:
ladessa [460]3 years ago
7 0

Answer:

The volume of the sawdust pile is 16041.7 feet.

Step-by-step explanation:

The sawdust pile formed is in the form of a cone.

The volume of a cone is:

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

The information provided is:

<em>r</em> = radius of the base = diameter ÷ 2 = (35 ÷ 2) feet

<em>h</em> = height = 50 feet

Compute the volume of the sawdust pile as follows:

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

   =\frac{1}{3}\times \frac{22}{7}\times (\frac{35}{2})^{2}\times 50\\\\=16041.6667\\\\\approx 16041.7\ \text{feet}

Thus, the volume of the sawdust pile is 16041.7 feet.

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