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MariettaO [177]
2 years ago
11

The volume of a cylinder of height 8 cm is 72π cm3 Find the radius of the cylinder.

Mathematics
1 answer:
SVEN [57.7K]2 years ago
8 0

Answer:

3 cm

Step-by-step explanation:

Divide the volume by the height

72π/8 = 9π

Now we have the surface area. The surface area is πr^{2}, so we reverse it.

Divide the number by π:

9π/π=9

Now we find the square root

3 x 3 is 9, so 3 is the square root and radius.

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Sally gets paid $15.00 dollars per hour for a 40-hour work week and y dollars for each hour she works over 40 hours. What is the
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The equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.

<u>Step-by-step explanation:</u>

  • Sally gets paid $15.00 dollars per hour for a 40-hour weekly work.
  • She gets y dollars for each extra hour she works over 40 hours.

<u>The equation can be framed as :</u>

Let,

  • x be the total pay she could get for 48 hours.
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  • The amount she earned for extra hours = 8 × y ⇒ 8y

The equation is given as,

Total earnings = amount earned for 40 hours + amount for extra 8 hours.

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How to find the area of a sector with a sector angle of 72 degrees and a radius of 14 cm​
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Answer:

Exact area: 39.2π cm²

Approximate area: 123.2 cm²

Step-by-step explanation:

The area of a circle is πr².

A full circle can be thought of as a sector of a circle with 360° of central angle. For a sector of a circle with a central angle of n°, multiply the area of the circle by the fraction n°/360°.

The formula for the area of a sector of circle with central angle n° and radius r is

A = (n°)/(360°) × πr²

Here we have n = 72; r = 14 cm

A = (n°)/(360°) × πr²

A = (72°)/(360°) × π × (14 cm)²

A = 39.2π cm² = 123.2 cm²

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