166k views
1 vote
A spherical ball of wax with a radius of 4 inches is melted and poured into a container shaped like a rectangular prism with a 6 inch x 6 inch base. What is the height of the melted wax in the new shape?

User DaveAlger
by
8.0k points

2 Answers

1 vote

Answer: 7.4 inches

Step-by-step explanation: just took the quiz and i was right

User Carmelina
by
8.7k points
4 votes
Volume of a sphere = 4/3 π r³

Volume of the spherical ball = 4/3 π (4)³ = 267.95 in³

Area of a rectangular prism = Length x Width x Height

267.95 = 6 x 6 x Height

Height = 267.95 ÷ 36 = 7.44 in

Answer: 7.44 inch


User Flywire
by
8.5k points