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Alisiya [41]
3 years ago
5

A rock is in the shape of a sphere with a radius of 5.08 centimeters. The rock has a density of 5.5 grams per cubic centimeter.

Find the mass of the rock to the nearest whole gram.
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
6 0

The mass of the rock is 3020.27 grams , if a rock is in the shape of a sphere with a radius of 5.08 centimeters and the rock has a density of 5.5 grams per cubic centimeter,

Step-by-step explanation:

The given is,

            Radius of the rock is 5.08 cm (Sphere)

            Density of rock 5.5 grams per cubic centimeters

Step:1

           Formula for volume of sphere,

                               Volume, V= \frac{4}{3} \pi r^{3}..........................(1)

          Where, r - Radius of sphere

          From the given values,

                          r = 5.08 cm

          Equation (1) becomes,

                                    V= \frac{4}{3} \pi (5.08)^{3}

                                    V= \frac{4}{3} (3.1415) (5.08)^{3}

                                        = \frac{4}{3} (3.1415) (131.097)

                                    V = 549.14 cubic centimeters

Step:2

          Mass of rock = Volume of rock × Density of rock

                                = 549.14 × 5.5          ( ∵ cm^{3} (\frac{ gram}{cm^{3}} )  = gram )

                                = 3020.27 grams

  Mass of the rock = 3020.27 grams

Result:

      The mass of the rock is 3020.27 grams , if a rock is in the shape of a sphere with a radius of 5.08 centimeters and the rock has a density of 5.5 grams per cubic centimeter,

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Answer:

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Step-by-step explanation:

*this is <em>only </em>if you are allowed to use a calculator*

1. You have to add the total of the cats and dogs

Why? Here, let me put it this way. You have a test with two sections: math and science. If there are 2 Maths Questions and 2 Science questions, what percent of the test are math questions? You would not say 2/2 and say 100. You would say 2/4 because it is obvious. You do the same in this case but it is not as noticeable because you are dealing with bigger numbers.

15 + 12 = <u>27</u>.

2. Solve

<u>a. </u>There are 15 dogs and 12 cats that makes up 27 pets total.

So you have to do 12/27 for cats,

15/27 for dogs. The fractions equal one and It shows you how much of one is there compared to the total.

<u>b. </u><u><em>Simplify</em></u>

You can simplify these fractions:

for 12/27, divide the numerator and the denominator by 3.

You get 4/9

Divide 15/27 for dogs by 3 as well to get 5/9.

5+4 is 9, which means that I am doing the math correctly.

According to the calculator, 5/9 is 55.556, and 4/9 is 44.444

They should be accurate because there are more dogs than cats and the percentage for dogs are higher. Hence, this is correct.

Cats = 4/9 = 44.444%

Dogs = 5/9 = 55.556%

Hope this helps :)

-jp524

7 0
2 years ago
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