PLSSS HELPPP
Which of the following has a volume of approximately 300 cubic inches? Select all that apply. Use 3.14 for π.
A
A cylinder with a radius of 4 inches and a height of 6 inches.
B
A cylinder with a radius of 6 inches and a height of 4 inches.
C
A sphere with a radius of 4.2 inches.
D
A sphere with a radius of 71 inches
A: The volume of the cylinder is πr^2h = 3.14 x 4^2 x 6 ≈ 301 cubic inches (within rounding error). Therefore, option A has a volume of approximately 300 cubic inches.
B: The volume of the cylinder is πr^2h = 3.14 x 6^2 x 4 ≈ 452.16 cubic inches, which is greater than 300 cubic inches. Therefore, option B does not have a volume of approximately 300 cubic inches.
C: The volume of the sphere is (4/3)πr^3 = (4/3) x 3.14 x 4.2^3 ≈ 310.97 cubic inches, which is greater than 300 cubic inches. Therefore, option C does not have a volume of approximately 300 cubic inches.
D: The volume of the sphere is (4/3)πr^3 = (4/3) x 3.14 x 71^3 ≈ 1,163,427.53 cubic inches, which is much greater than 300 cubic inches. Therefore, option D does not have a volume of approximately 300 cubic inches.
Therefore, the only option that has a volume of approximately 300 cubic inches is A.