Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Three golf balls are stored in a square prism container with a height of 6 inches and a base edge of 2

inches. The diameter of a golf ball is 1.68 inches.

Find the amount of space within the square prism not taken up by the golf balls.

6 in

2 in

2 in

O 21.5 in

O 7.4 in

O 16.6 in

O 31.4 in


Sagot :

Answer:

16.6 in

Step-by-step explanation:

Amount of space left = volume of prism - volume of 3 golf balls

volume of prism = base area x height

base area = area of a square  = length² = 2² = 4

volume = 4 x 6 = 24

Volume of a sphere = 4/3 x pi x r^3

r = 1.68/2 = 0.84

4/3 x 3.14 x 0.84^3 = 2.48

volume of 3 balls = 2.48 x 3 =