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agasfer [191]
3 years ago
7

What is the volume of a hemisphere with a radius of 9.2 cm, rounded to the nearest tenth of a cubic centimeter?

Mathematics
1 answer:
NARA [144]3 years ago
6 0

Answer:

volume of the hemisphere   ≈1577.5 cm³

Step-by-step explanation:

To find the formula for calculating the volume of a hemisphere, we will follow the steps below:

write the formula for calculating the volume of a hemisphere.

volume of a hemisphere = volume of a sphere ÷2

                                        = \frac{4}{3}πr³   ÷   2

                                        =\frac{2}{3} πr³

WHERE r is the radius

from the question given, radius= 9.2 cm  

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the equation

volume of a hemisphere =  \frac{2}{3} πr³

                                          = \frac{2}{3} × 3.14 ×9.2³

                                           = \frac{2}{3} × 3.14 ×753.571

                                          ≈1577.5 cm³   to the nearest tenth of cubic centimeter

volume of the hemisphere   ≈1577.5 cm³

 

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Answer:

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Step-by-step explanation:

Part 1) x and y vary inversely and x=50 when y=5 find y when x=10 what is k?

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

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y*x=250  or y=250/x

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substitute the value of x in the equation and solve for y

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y=250/10=25

Part B) x and y vary directly and x=6 when y=42 find k what is y when x=12

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A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form y/x=k or y=kx

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<u>Find the value of k</u>

x=6 when y=42

substitute the values

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step 2

<u>Find y when x=12</u>

substitute the value of x in the equation and solve for y

y=7(12)=84

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