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3 years ago

Hank brought a fish tank

Mathematics

1 answer:

yaroslaw [1]3 years ago

3 0

To find volume you do length*width*height
therefore it would be 15*8*10= 1,200

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The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a heigh

expeople1 [14]

Answer:

The correct answer is:

The volume of the triangular prism is equal to the volume of the cylinder

Step-by-step explanation:

Given that there are two figures

1. A right triangular prism and

2. Right cylinder

Area of cross section of prism is equal to Area of cross section of cylinder.

Let this value be A.

Also given that Height of prism = Height of cylinder = 6

Volume of a prism is given as:

$V_{Prism} = \text{Area of cross section} \times Height$

$V_{Prism} = A \times 6 ........ (1)$

Cross section of cylinder is a circle.

Area of circle is given as: $\pi r^{2}$

Area of cross section, A = $\pi r^{2}$

Volume of cylinder is given as:

$V_{Cylinder} = \pi r^{2} h\\\Rightarrow V_{Cylinder} = A \times h\\\Rightarrow V_{Cylinder} = A \times 6 ...... (2)$

From equations (1) and (2) we can see that

$V_{Prism}=V_{Cylinder}$

Hence, the correct answer is:

Volume of prism is equal to the volume of cylinder.

3 0

2 years ago

In the figure, if the measure of 21 = 112°, what's the measure of 212?

Usimov [2.4K]

48°

Alternate interior angles.

3 0

2 years ago

Read 2 more answers

Find real solutions x-(4-8x)^0.5=0

Vadim26 [7]

Answer:

There are no real roots for this equation.

Step-by-step explanation:

The only solution is irrational: x-√(4-8x)=0

I have provided a graph to help you with this problem.

Hope this helps! :)

5 0

3 years ago

There are 110 monkeys at the zoo. They each hug every other monkey. How many hugs were there?

Nutka1998 [239]

Answer:

5995 hugs

Step-by-step explanation:

This is a combination problem: we want to make groups of two monkeys, where a pair of monkey 1 and 2 is the same pair of monkey 2 and 1 (it is the same hug). So, if the total number of monkeys at the zoo is 110, we have a combination of 110 choose 2:

C(110,2) = 110! / (2! * (110-2)!) = 110 * 109 / 2 = 5995

So the total number of hugs is 5995

5 0

2 years ago

Read 2 more answers

Find the value of x.

eduard

Answer:

$4/12=x/18$