Volumes of Spheres

Question

Question 1
Which choice could you use to find the volume of the given sphere? (π = 3.14)
Responses
A V = 4(3.14)(4.5)3
V = 4(3.14) ( 4.5 ) 3
B V = 43
(3.14)(4.5)2
V = 4 3 (3.14) ( 4.5 ) 2
C V = 43
(3.14)(4.5)3
V = 4 3 (3.14) ( 4.5 ) 3
D V = (3.14)(4.5)3
V = (3.14) ( 4.5 ) 3
Question 2
Determine the volume of the given sphere. (nearest tenth)
Responses
A 91.1 cubic units91.1 cubic units
B 286.1 cubic units286.1 cubic units
C 381.5 cubic units381.5 cubic units
D 401.6 cubic units401.6 cubic units

Answer 1

To find the volume of a sphere, we use the formula V = (4/3)(π)(r^3), where r is the radius of the sphere.

For question 1, the correct choice is C: V = 4/3 (3.14)(4.5)^3

For question 2, we need to calculate the volume using the given formula:
V = (4/3)(3.14)(4.5)^3 = (4/3)(3.14)(91.125) = 381.492 cubic units

So the correct answer is C: 381.5 cubic units