# Measurement

A cone has a radious of 24 cm and a volume of 1,920 cm ^3. what is the volume of a similar cone with a radius of 18 cm?

What Is the surface area of a sphere with a radius of 4 meters rounded to the nearest square meter?

What is the volume of a sphere with a radius of 6 meters rounded to the nearest square meter?

What is the length of the diagonal fro the given rectangular prism to the nearest whole unit?
Length: 6 cm
Width: 5 cm
Height: 9 cm

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1. The volume of similar figures is proportional to the cube of the corresponding sides,
so V/1920 = 18^3/24^3 = 3^3/4^3 = 27/64
64V = 27*1920
V = 27*1920/64 = 810
The volume is 810 cm^3

2. You must know the formula for the surface area of a cube, then sub in the values.
Tell me what you got

3. You must know the formula for the volume of a cube, then sub in the values.
Tell me what you got

4. L^2 = √(6^2 + 5^2 + 9^2)
= ....
L = √....

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2. In #2 and #3, I meant sphere , not cube

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3. what’s the volume of the square with the height of 5, 5 width, and 5 length?

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