Question

Question 2 (Multiple Choice Worth 4 points)

[2.05] MA.8.A.4.1

Tobias and Brian plan to share the hot chocolate from a full cylindrical thermos equally. The thermos has an inner radius of 1.5 inches and an inner height of 10 inches. If they will each use a mug with an inner radius of 2 inches, how high will the hot chocolate be in each mug to the nearest hundredth of an inch? Use the formula: V = 3.14r2h.

2.81 inches

2.97 inches

4.74 inches

5.62 inches

Answer 1

first calculate the volume of hot chocolate in thermos..
V=3.14*r^2*h

Answer 2

and then solve the above for h

Answer 3

V=3.14(1.5)^2(10)
V=70.65
divide by two because they share the hot chocolate equally
70.65/2=35.325
subsitute in the original equation and solve for h(height)
35.325=3.14(2)^2h
35.325=12.56h
35.325/12.56=h
h=2.81
Option A :)

Answer 4

thanks

Answer 5

Your welcome :)