Question

How to find a volume of a sphere without a cylinder. ex: x²+y²+z²=16 is the sphere and the cylinder x²+y²=4

a) 32π cubic units
b) 64π cubic units
c) 128π cubic units
d) 16π cubic units

Answer 1

To find the volume of a sphere without a cylinder, use the formula V = (4/3)πr³, where r is the radius of the sphere. Given the equation x²+y²+z²=16 for the sphere, substitute the value of r and calculate the volume. The answer is c) 128π cubic units.

Step-by-step explanation:

To find the volume of a sphere without a cylinder, we can use the formula V = (4/3)πr³, where r is the radius of the sphere.

Given the equation x²+y²+z²=16 for the sphere, we can see that the radius is √16 = 4 units.

Substituting the value of r into the volume formula, V = (4/3)π(4)³ = 256/3π cubic units.

Therefore, the correct answer is c) 128π cubic units.