1. A cone has a radius of 40 cm and a volume of 1875 cm^3. what is the volume of a similar cone with a radius of 16 cm.

Question

A: 120 cm^3
B: 300 cm^3
C: 75 cm^3
D: 750^3

I know the answer is A but could someone explain how to do the problem.

Answer 1

volume is proportional to length cubed for similar geometry
2 times length is 4 times area
2 times length is 8 times volume

so
1875(16/40)^3 = 1875(.064) = 120cm^3

Answer 2

Thank you so much

Answer 3

Thanks Damon. Embershy? huh, there really is someone I have in common

Answer 4

Pretty much six years later... So who did you vote for president in 2020?

Answer 5

Number 13 what is the volume of a sphere with a radius of 4 m rounded to the nearest square

Answer 6

To find the volume of a sphere, we can use the formula:

V = (4/3) * π * r^3

Given that the radius (r) is 4 m, we can substitute it into the formula:

V = (4/3) * π * (4^3)
V = (4/3) * π * 64
V ≈ 268.08257

Rounding this volume to the nearest square, we get:

V ≈ 268 m^3

So, the volume of the sphere, rounded to the nearest square, is approximately 268 m^3.