Geometry Answers

1. A weather balloon holds 2,850 cubic meters of helium. The density of helium is 0.1685 kilograms per cubic meter. How many kilograms of helium does the balloon contain? Please round your answer to the nearest whole number. Only enter a numerical value in the answer blank. Numerical Answers Expected

2.

The Pretty Pizza Company wants to open a new pizza place either on the north side of town or the south side of town. They want to open the pizza place where the ratio of pizza places per person is less than 0.01. The population of 15 blocks of the north side of town is 221 people per block, but there are already 32 pizza places in the area. The population of 22 blocks of the south area is 150 people per block, and there are 28 pizza places in the area. Where, if anywhere, should the Pretty Pizza Company open a new pizza place?

South side of town

North side of town

Both sides of town

Neither side of town

A grain silo is shown below:

Grain silo formed by cylinder with radius 6 feet and height 168 feet and a half sphere on the top

What is the volume of grain that could completely fill this silo, rounded to the nearest whole number? Use 22 over 7 for pi.

19,008 ft3

19,461 ft3

6,336 ft3

453 ft3

A snow cone is a tasty treat with flavored ice and a spherical bubble gum ball at the bottom, as shown below:

Snow cone with spherical bubble gum ball at the bottom

The radius of the cone is 1.75 inches, and its height is 3.5 inches. If the diameter of the bubble gum ball is 0.5 inches, what is the closest approximation of the volume of the cone that can be filled with flavored ice?

11.15 in3

11.22 in3

0.07 in3

33.67 in3

An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a cylinder, as shown below:

Each cone of the hourglass has a height of 12 millimeters. The total height of the sand within the top portion of the hourglass is 47 millimeters. The radius of both the cylinder and cone is 4 millimeters. Sand drips from the top of the hourglass to the bottom at a rate of 10π cubic millimeters per second. How many seconds will it take until all of the sand has dripped to the bottom of the hourglass?

6.4

62.4

8.5

56.0

Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B is a square pyramid with a base side length of 36 inches and a height of 24 inches. How many times bigger is the volume of pyramid B than pyramid A?

Given a soda can with a volume of 15 and a diameter of 2, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter whole numbers in the answer blank). Numerical Answers Expected

Find the volume of a cylinder with a diameter of 10 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)

The stack on the left is made up of 15 pennies, and the stack on the right is also made up of 15 pennies. If the volume of the stack of pennies on the left is 360 mm3, what is the volume of the stack of pennies on the right in cubic millimeters? Use 3.14 for pi. (Hint: only enter numerals in the answer )

Given a cube with a volume of 27 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?

3cm3

6cm3

9cm3

12cm3