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,
..........................(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}](https://tex.z-dn.net/?f=V%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%285.08%29%5E%7B3%7D)
![V= \frac{4}{3} (3.1415) (5.08)^{3}](https://tex.z-dn.net/?f=V%3D%20%5Cfrac%7B4%7D%7B3%7D%20%283.1415%29%20%285.08%29%5E%7B3%7D)
![= \frac{4}{3} (3.1415) (131.097)](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B4%7D%7B3%7D%20%283.1415%29%20%28131.097%29)
V = 549.14 cubic centimeters
Step:2
Mass of rock = Volume of rock × Density of rock
= 549.14 × 5.5 ( ∵
)
= 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,