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weeeeeb [17]
3 years ago
10

A machine coats metal spheres with a plastic coating. The metal spheres have a radius of 9 mm. The spheres formed by the metal a

nd plastic coating have a radius of 12 mm.
How much plastic coating is on each sphere?
Use 3.14 to approximate pi and express your final answer in hundredths.
Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0
Find the volumes of the two spheres and subtract.

V = 4/3 * pi * r^3

V = 4/3 * 3.14 * 9^3

Simplify exponent:

V = 4/3 * 3.14 * 729

Multiply:

V = 3052.08

V = 4/3 * pi * r^3

V = 4/3 * 3.14 * 12^3

Simplify exponent:

V = 4/3 * 3.14 * 1728

Multiply:

V = 7234.56

Subtract the two volumes:

7234.56 - 3052.08 = 4182.48
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Answer:

the price of the shirt without discount is 75,000 pesos

Step-by-step explanation:

The computation of the price of the shirt without discount as follows:

There is a discount of 20%

And the person pays 60,000 pesos after considering the discount

So, the price without discount is

= 60,000 pesos ÷ 0.80

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You buy items costing $1900 and finance the cost with a fixed installment loan for 24 months at 8% simple interest per year.
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Answer:

  1. $304
  2. $91.83

Step-by-step explanation:

1. The finance charge is found from the simple interest formula;

  I = Prt

where P is the principal amount, r is the annual rate, and t is the number of years.

24 months is 2 years, so the interest charged is ...

  I = $1900×0.08×2 = $304

The finance charge is $304.

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2. The monthly payment will be the total amount due, divided by the number of months.

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The monthly payment is $91.83.

6 0
3 years ago
Cam's tent (shown below) is a triangular prism. Find the surface area, including the floor, of his tent.
SVEN [57.7K]

The surface area of the tent is 21.4 m²

Step-by-step explanation:

To find the surface area of a prism you must calculate:

1. The perimeter of the base

2. The area of the base

3. The height of the prism

We have a triangular prism:

Its base is an equilateral triangle of side length 2 m and height 1.7 m

The height of the prism is 3 m

∵ The surface are of the prism is:

   S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the equilateral triangle = 3 × length of a side

∵ The length of the side = 2 m

∴ The perimeter of the base = 3 × 2 = 6 m

∵ The area of the triangle = \frac{1}{2} × base × height

∵ The length of the base of the triangle = 2 m

∵ The height of the triangle = 1.7 m

∴ The area of the base = \frac{1}{2} × 2 × 1.7 = 1.7 m²

∵ S.A = perimeter of the base × height + 2 × area of the base

∵ The perimeter of the base = 6 m

∵ The area of the base = 1.7 m²

∵ The height of the prism = 3 m

∴ S.A = 6 × 3 + 2 × 1.7

∴ S.A = 18 + 3.4

∴ S.A = 21.4 m²

The surface area of the tent is 21.4 m²

Learn more:

You can learn more about surface area of a solid in brainly.com/question/12613605

#LearnwithBrainly

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