Given a spherical magma body with a radius r of 5.5 meters and a cubical magma body with sides s that have a length of 8.9 meters, in which body of magma is the magma likely to cool more quickly (assuming all other factors are held constant) ? Choose one:

A. The magma will cool more quickly in the cubical magma body.

B. The magma will cool more quickly in the spherical magma body.

C. There is not enough information provided to answer the question.

D. The magma will cool at the same rate for both magma bodies.

Question

Physics

Catalina Foster

11 August, 03:30

Given a spherical magma body with a radius r of 5.5 meters and a cubical magma body with sides s that have a length of 8.9 meters, in which body of magma is the magma likely to cool more quickly (assuming all other factors are held constant) ? Choose one:

A. The magma will cool more quickly in the cubical magma body.

B. The magma will cool more quickly in the spherical magma body.

C. There is not enough information provided to answer the question.

D. The magma will cool at the same rate for both magma bodies.

+4

Answers (1)

Know the Answer?

Wilma · Answer 1

A. The magma will cool more quickly in the cubical magma body.

Explanation:

Heat transfer rate depends upon the surface area of the body, larger the surface area larger will be the the heat transfer.

surface area of the sphere = 4πr^2 = 4Π*5.5^2 = 380.132 msq.

surface area of the cube = 6a^2 = 6*8.9^2 = 475.26 msq.

clearly, area of the cube is greater than the area of the sphere. Therefore, A. The magma will cool more quickly in the cubical magma body.