A hollow crystal ball is made of glass that is 3 cm thick. The ball has a radius to the outside surface of 8 cm. What is the approximate volume of glass used to make the ball? Use 3.14 to approximate pi. a 113.0 cm³ b 523.3 cm³ c 1620.2 cm³ d 2143.6 cm³

Question

Mathematics

Celia

28 February, 00:00

A hollow crystal ball is made of glass that is 3 cm thick. The ball has a radius to the outside surface of 8 cm. What is the approximate volume of glass used to make the ball? Use 3.14 to approximate pi. a 113.0 cm³ b 523.3 cm³ c 1620.2 cm³ d 2143.6 cm³

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Carsen Griffith · Answer 1

The best way to find the answer is to take the entire volume with a radius of 8cm and minus the empty space in the middle which is 5cm because 8-3cm thick glass=5cm

so volume of a sphere is

V = (4/3) πr^3

V = ((4/3) π (8^3)) - ((4/3) π (5^3))

V = (2144.66) - (523.6)

V=1,621.06cm^3