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pickupchik [31]
3 years ago
10

What is the volume of the frustum? Express the answer in terms of π.

Mathematics
2 answers:
Lisa [10]3 years ago
6 0

Answer:

The volume of the frustum is: 34.8 \, \pi \,units^3

which corresponds to the third answer shown in the list of options

Step-by-step explanation:

The image can be interpreted as an original tall cone of height 6.4 plus 6.8 (13.2) that was divided into two parts by chopping the smaller upper cone, and leaving the frustum (the volume of which we need to find). So, to estimate the volume of this frustum, knowing the general formula for the volume of a cone:

Volume= \frac{1}{3} B\,h   (where B is the area of the cone's base, and h its height)

we could calculate the volume of the larger cone, and subtract from it the volume of the upper smaller one.

For the area of the cone's base, recall call also that the area of a circle of radius R is given by: \pi\,R^2, and therefore the formula for the volume of the cone can be written as:

Volume= \frac{1}{3} \pi\,R^2\,h

So, now the volume of the larger cone is:

Volume= \frac{1}{3} \pi\,R^2\,h= \frac{1}{3} \pi\,3^2\,13.2=39.6\,\pi

The volume of the smaller cone:

Volume= \frac{1}{3} \pi\,R^2\,h= \frac{1}{3} \pi\,1.5^2\,6.4=4.8\, \pi

Therefore, the difference becomes: 39.6\,\pi-4.8\,\pi=34.8\,\pi

This is the volume of the frustum: 34.8 \, \pi \,units^3

Alecsey [184]3 years ago
6 0

The answer is D

44.4π units^3

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Which expression has the same value as 59.2 - 84.7

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Answer:

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6 0
2 years ago
15/30 = n/34 round to the nearest tenth.
avanturin [10]
The equation given in the question has to be answered to the nearest tenth. The only thing that one should be careful about is the cross multiplication part. Other than that there is no difficulty in the given problem. Now let us get down to the equation in the question.
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3 years ago
Read 2 more answers
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Burka [1]
IT IS C BECAUSE IT IS SAYING IT WAS 43 AND IS NOW DROPPING BY -3
8 0
3 years ago
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the
Natali5045456 [20]

Given :

A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 feet from the dock, the length of the rope form the boat to the dock is 3 feet longer than twice the height of the dock above the water.

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Solution :

This will make a right angle triangle as given in link below .

Now , applying Pythagoras theorem :

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