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3 years ago

What is the exact volume of a sphere with a diameter of 18 cm? ______ cm3

1 answer:

4 0

The formula to find the volume of a sphere is: V= $\frac{4}{3} \pi r^{3}$
Since the diameter is 18 cm, so the radius is equal to r=18/2 = 9
Now we replace r by it's value, so we get:
$\frac{4}{3} \pi 9^{3}$
$\frac{4}{3} \pi 729$
$972 \pi$
And we get approximately $3053.63 cm^{3}$
Hope this Helps :D

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2 years ago

The perimeter of the scalene triangle is 54.6 cm. Which equation can be used to find the value of b if side a measures 8.7 cm?

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A scalene triangle is a triangle that has 3 sides that are all different lengths.

Let these letters represent the problem:

a = 8.7

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Read 2 more answers

(x+y=3 (3x+2y=14 what is the coordinates for this problem

Ludmilka [50]

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3x + 0 > -14 + 2y 

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3x + 14 > 0 + 2y 

3x + 14 > 2y 

(3x + 14)/2 > 2y/2 

(3x + 14)/2 > y*(2/2) 

(3x + 14)/2 > y*(1) 

(3x + 14)/2 > y 

y < (3x + 14)/2 

y < 3x/2 + 14/2 

y < 3x/2 + 7 

y < (3/2)*x + 7 

“y” is LESS THAN (3/2)*x + 7 

the slope intercept form of the inequality is: y < (3/2)*x + 7 

STEP 2: Temporarily change the inequality into an equation by replacing the < symbol with an = symbol. 

y < (3/2)*x + 7 

y = (3/2)*x + 7 

STEP 3: Prepare the x-y table using the equation from Step 2. 

Using the slope intercept form of the equation from Step 2, choose a value for x, and then compute y for at least three points. 

Although you could plot the graph with just two sets of x-y coordinates, you should compute at least three different sets of coordinates points to ensure you have not made a mistake. All three x-y coordinates must lie on the same straight line. If they do not, you have made a mistake. 

You can choose any value for x. 

For example, (arbitrarily) choose x = -2 

If x = -2, 

y = (3/2)*x + 7 

y = (3/2)*(-2) + 7 

y = 4

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