Respuesta :
Option B
Difference between volume of cylinder and sphere is 79.51
Solution:
Given that,
Cylinder has a radius of 3 inches and a height of 4 inches
Volume of cylinder is given as:
[tex]V = \pi r^2 h[/tex]
Where "r" is the radius and "h" is the height of cylinder
r = 3 inches
h = 4 inches
Substituting the value, we get
[tex]V = 3.14 \times 3^2 \times 4\\\\V = 3.14 \times 9 \times 4 = 3.14 \times 36\\\\V = 113.04 \approx 113[/tex]
Thus volume of cylinder is 113 cubic inches
A sphere has a radius of 2 inches
Volume of sphere is given as:
[tex]V = \frac{4}{3} \times \pi \times r^3[/tex]
Here, r = radius = 2 inches
Substituting the value, we get
[tex]V = \frac{4}{3} \times 3.14 \times 2^3\\\\V = \frac{4}{3} \times 3.14 \times 8\\\\V = \frac{4}{3} \times 25.12\\\\V = 33.49[/tex]
Thus volume of sphere is 33.49 cubic inches
Difference between volume of cylinder and sphere
Difference = volume of cylinder - volume of sphere
Difference = 113 - 33.49 = 79.51
Thus Option B is correct
