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3 years ago

a circular mat has a circumference of 220 centimeters find the radius rounderd to the nearest whole number

Mathematics

1 answer:

Setler [38]3 years ago

6 0

Answer:

<h3>The answer is 32cm</h3>

Step-by-step explanation:

Circumference of a circle = 2πr

where

r is the radius

To find the radius of the mat substitute the value of the circumference into the above formula and solve for the radius

Circumference = 200cm

200 = 2πr

Divide both sides by 2π

$r = \frac{200}{2\pi}$

r = 31.83098

We have the final answer as

<h3>radius = 32 cm to the nearest whole number</h3>

Hope this helps

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A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere

pentagon [3]

Answer:

$V=298.5cm^3$

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

$SA=4\pi r^2$

from this formula we clear the radius r:

$r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }$

and we substitute the known value of the surface area, and also the value of $\pi$ :

$r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm$

and now that we know the radius we find the volume:

$V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3$

the volume of the sphere is $298.5cm^3$

7 0

3 years ago

Divide 9y power 2 by 3<br><br>divide (8x power 2 +4x ) by 2x

olchik [2.2K]

Answer:

1=27

2=34

Step-by-step explanation:

1)9y power 2÷3

or, y=9 power 2÷3

or, y=9×9÷3

or, y=81÷3

or, y=27

2) (8x power 2+4x)÷2

=(8x×8+4x)÷2

=(64x+4x)÷2

=68x÷2

or, x=68÷2

or, x=34

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3 years ago

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Answer:

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MrRa [10]

Answer:

Step-by-step explanation:

look at the x and y axis

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3 years ago

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Flauer [41]

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