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,

6 0

3 years ago

Tom's total payment for his loan was $10,368.

g100num [7]

Answer:

$216

Step-by-step explanation:

This question does not involve interest, so all we need to do is to divide the total of payments ($10,368) by the number of payments (48):

$10,368

--------------- = $216/month

5 0

3 years ago