1. A right circular cone is inscribed in a right circular cylinder. The volume of the cylinder is $72\pi$ cubic centimeters. What is the number of cubic centimeters in the space inside the cylinder but outside the cone? Express your answer in terms of $\pi$.

2. Triangle with vertices at , and is translated up 3 units and then dilated with respect to the origin by a factor of 2. What are the new coordinates of point ? Express your answer as an ordered pair.

Guest Feb 24, 2019

#1**+1 **

1. A right circular cone is inscribed in a right circular cylinder. The volume of the cylinder is $72\pi$ cubic centimeters. What is the number of cubic centimeters in the space inside the cylinder but outside the cone? Express your answer in terms of $\pi$.

The cone will have a volume of 1/3 of the cylinder....so....the space between them is

]72 pi - 24pi ] cm^3 = 48 pi cm^3

2. Can't be answered since we don't know the vertices of the original triangle

CPhill Feb 24, 2019