Respuesta :
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,
[tex]Volume, V= \frac{4}{3} \pi r^{3}[/tex]..........................(1)
Where, r - Radius of sphere
From the given values,
r = 5.08 cm
Equation (1) becomes,
[tex]V= \frac{4}{3} \pi (5.08)^{3}[/tex]
[tex]V= \frac{4}{3} (3.1415) (5.08)^{3}[/tex]
[tex]= \frac{4}{3} (3.1415) (131.097)[/tex]
V = 549.14 cubic centimeters
Step:2
Mass of rock = Volume of rock × Density of rock
= 549.14 × 5.5 ( ∵ [tex]cm^{3} (\frac{ gram}{cm^{3}} ) = gram[/tex] )
= 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,
