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vodka [1.7K]
3 years ago
12

Find the volume of a sphere that has a surface area of 16 * pi sq. in.

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
4 0
You can use this formula to solve this problem... it uses the surface area to find the volume.

V= (A^3/2)/(6√pi)   

Substitute the surface area value into "A" and then solve as you would on paper. I'm sorry I couldn't show you the entire process but this should get you your answer. Plus if your teacher asks for work, I just set you up and everything else should be self explanatory.  

But the answer is ---->  33.5 inches cubed
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Find the side of a square whose diagonal is of the given measure.<br> Given = 15.2 cm
Neko [114]

Answer:

15cm

Step-by-step explanation:

First, a square's diagonal is basically the hypotenuse of a 45-45-90 triangle. a 45-45-90 triangle has a really special relationship, where the side length is x, and the diagonal is x \sqrt{2}. So, the side length is 15.

8 0
3 years ago
Read 2 more answers
Subtract the following:<br> –7 – 7=<br> 7 –<br> 7=<br> -7-(- 7) =<br> 7- (-7)=
Ratling [72]

Answer:

A. -7 - 7 = -14

B. 7 - 7 = 0

C. -7 - (-7) = 0

D. 7 - (-7) = 14

5 0
3 years ago
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a triangle has a perimeter of 10x+2 . two sides have lengths of 5x and 2x+9 what is the length of the 3rd side
stiks02 [169]
Since all the sides add up to 10x+2, that means that 10x-2-<side1>-<side2>=<side3>. Plugging it in, we have 10x-2-5x-(2x+9)=side3, and 5x-2-(2x+9)=side3, then expanding it to 5x-2-2x-9=3x-11=side3
8 0
3 years ago
The mold for a cone has a diameter of 4 inches in 6 inches tall what is the volume of the cone mold to the nearest 10th
anygoal [31]

Hey there!

The formula for the volume of a cone is V=\pi r^{2} \frac{h}{3}.

In this cone, we have the given information:

  • Its diameter is 4 inches
  • Its height is 6 inches

The information we need for this formula is the radius and height.

We already have the height, but not the radius.

Fortunately, we can easily get it by dividing the diameter by 2.

4 \div 2 = 2

So, the radius is 2.

Let 3.14 be \pi.

Plug in each value into the equation. V = 3.14 \times 2^{2} \times \frac{6}{3}

Simplify the exponent and fraction.

V = 3.14 \times 4 \times 2

Multiply the three numbers together.

V = 25.12

But wait! We have to round this to the nearest tenth.

When rounding, we look at the place value one less than the one we are rounding to. Since we are rounding to the nearest tenth, we look at the hundredths place, which is the digit 2.

Since 2 is less than 5, we round down to 25.1.

This is the volume of a cube, and it is measured in inches, so the unit we will use is in^{3}.

So, your <u>final answer</u> is 25.1 in^{3}!

Hope this helps!

8 0
3 years ago
Find the limit. limx→−6 √4x+45
Simora [160]
If
lim \: x -> - 6 \: \: (\sqrt{4x + 45} ) \\
= \sqrt{21}

Just replace x for (-6)
8 0
3 years ago
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