8. The mass of a spherical ball of radius 2 cm is
kg. Find the mass of a spherical shell of the same
material whose inner and outer radii are 4 cm and
5 cm respectively
please solve it step by step
Answers
Answer:
61 kg
Step-by-step explanation:
a certain spherical ball of diameter 4 cm has a mass of 8 kg
Volume of Spherical Ball = (4/3) π R³
R = Radius = Diameter/2 = 4/2 = 2 cm
Volume of Spherical Ball = (4/3) π 2³ = 32π/3 cm³
Density = Mass/ Volume = 8 /(32π/3) kg / cm³
= 3/4π kg / cm³
Volume of spherical shell whose outer and inner diameters are 10 cm and 8cm => radius are 5 cm & 4cm
= (4/3)π5³ - (4/3)π4³
= (4/3)π ( 125 - 64)
= (4/3)π * 61 cm³
Mass = density * volume
= (3/4π) * (4/3)π * 61
= 61 kg
mass of a spherical shell of the same material whose outer and inner diameters are 10 cm and 8cm respectively will be 61 kg
Answer:
In mathematics, the Pythagorean theorem, also known as Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation".
I hope this will be help you.