Asked by Phillip
The diameter of the Moon is 3480km. What is the volume of the Moon? How many Moons would be needed to create a volume equal to the Earth?
How do you find the volume of the Moon from just the diameter? Also, does anybody know how to figure out the volume of the Earth?
How do you find the volume of the Moon from just the diameter? Also, does anybody know how to figure out the volume of the Earth?
Answers
Answered by
Ms. Sue
http://www.wikihow.com/Calculate-the-Volume-of-a-Sphere
Answered by
MathMate
The diameter of the eath according to Google is 12,756.2 km.
We assume both the earth and the moon have a shape close enough to a sphere, therefore we use the formula formula for the volume of a sphere as suggested by Ms Sue.
Volume of the moon
= (4/3)πr³
= (4/3)π(3480/2)³
= 2.206*10<sup>10</sup> km³
The volume of the earth can be calculated similarly using diameter = 12,756.2 km (reference Google).
We assume both the earth and the moon have a shape close enough to a sphere, therefore we use the formula formula for the volume of a sphere as suggested by Ms Sue.
Volume of the moon
= (4/3)πr³
= (4/3)π(3480/2)³
= 2.206*10<sup>10</sup> km³
The volume of the earth can be calculated similarly using diameter = 12,756.2 km (reference Google).
Answered by
drwls
The earth's diameter is 3.67 times that of the moon. Since volume is proportional to diameter cubed, the earth's volume is (3.67)^3 = 49 times larger.