10.8.5 Self-Check on Volumes
Exercise 9: Volume of the Earth and Moon
The mean radius of the Earth is 6,371 km and the mean radius of the Moon is 1,737 km. Assuming that both are perfect spheres calculate the volume of each in km3, showing your answers in scientific notation and to 3 decimal places. Then work out how many Moons could fit into the Earth.
Volume of a sphere =
Hence the Moon could fit into the Earth approximately 49 times.
Exercise 10: How Much Water for a Typical Bath?
A bathtub measures 0.65 m wide by 1.5 m long and is 0.4 m deep. Assuming that the bathtub is a rectangular box and that it is only half filled usually, calculate the volume of water used for a typical bath in liters.
Volume of a rectangular box =
The volume of water used for a typical bath is 195 l.