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Anit [1.1K]
3 years ago
8

What is the volume of the sphere?

Mathematics
2 answers:
poizon [28]3 years ago
5 0

Answer: 113.1

Step-by-step explanation:

The formula is \frac{4}{3}\pir^{3}

The radius is 3, and 3 cubed is 27.

Then, 27 x \pi is about 84.82

Finally, 84.82 x \frac{4}{3} is about 113.1

Hope this helps. Please mark as brainliest, thanks!

artcher [175]3 years ago
4 0

Answer:

36\pi ft^3

Step-by-step explanation:

Remember the equation for the sphere is...

V=\frac{4}{3} \pi r^3

First step: \frac{4}{3} \pi (3)^3

Second step: \frac{4}{3} \pi (27^3)

Third step: Don't do 27 times 3 first. Make sure to cross out the dominator of 4/3, which is 3, and the 27.

Fourth step: Change the 27 to 9.

Fifth step: Multiply 4 times 9, which is 36.

Sixth step: Final answer is 36\pi ft^3

Hope this helps and stay safe during these crucial times. We'll get through this!

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Part 1) The expression for the perimeter is P=4(25z-3) or  P=100z-12

Part 2) The perimeter when  z = 15 ft. is P=1,488\ ft

Step-by-step explanation:

Part 1)

we have

625z^{2}-150z+9

Find the roots of the quadratic equation

Equate the equation to zero

625z^{2}-150z+9=0

Complete the square

Group terms that contain the same variable, and move the constant to the opposite side of the equation

625z^{2}-150z=-9

Factor the leading coefficient  

625(z^{2}-(150/625)z)=-9

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Complete the square. Remember to balance the equation by adding the same constants to each side

625(z^{2}-(6/25)z+(36/2,500))=-9+(36/4)

625(z^{2}-(6/25)z+(36/2,500))=0

Rewrite as perfect squares

625(z-6/50)^{2}=0

z=6/50=0.12 -----> root with multiplicity 2

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The area is equal to  

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we have

P=100z-12

substitute the value of z

P=100(15)-12=1,488\ ft

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3 years ago
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