4. A customer at a store paid $64 for
3 large candles and 4 small candles.
At the same store, a second
customer paid $4 more than the first
customer for 1 large candle and 8
small candles. The price of each
large candle is the same, and the
price of each small candle is the
same. Which system of equations
can be used to find the price in
dollars of each large candle, x, and
each small candle, y?
a. 4y = 3X + 64
18y = x + 68
C. 3x + 4y = 64
x + 8y = 68
b. 4y = 3x + 64 d. 3x + 4y = 64
8y = x + 60 X + 8y = 60

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)