Find the probability of a dart landing in one of three plane figures in a rectangular board.

On a 12 by 20 rectangular board, three plane figures are drawn: a square 6 on a side , a circle with radius 4 and an equilateral triangle that is 8 on a side. If a dart is thrown that does hit the large rectangle what is the probabillity that it hits inside one of the three plane figures? (Landing on the side of a figure coun ...continues

Cylinder inside of a Cube : Ratio of Volumes

A cylinder is inscribed in a cube. That cylinder has a sphere inscribed inside of it. What is the ratio of the volume of the sphere to the volume of the cube? HINT: Let X be a side of a square on the cube.

Find the radius of a sphere whose surface area is numericaly equal to its volume.

What is the length of the radius of a sphere whose surface area is numerically equal to its volume?

Effect on Volume of Sphere when Radius and Surface Area are Changed

If the radius of a sphere is increased by 20% then the surface area is increased by 44%. By what percent exactly is the volume increased?

What is the volume of this prism whose base is a rhombus?

The base of a prism is a rhombus with each side 13 and one diagonal of 10. If the height of the prism is 7, what is the volume?

Hits on a rectangular board

On a 12 by 20 rectangular board, three plane figures are drawn: a square 6 on a side , a circle with radius 4 and an equilateral triangle that is 8 on a side. If a dart is thrown that does hit the large rectangle what is theprobability that it hits inside one of the three plane figures? (Landing on the side of a figure counts ...continues

Distance traveled by Wheel of a Car

A certain wheel on Jack's car has a radius of 35 inches. How many miles has Jack's car gone when the wheel has gone around 3744 times?

Cow is Attached to a Rope inside a Barn : What is the Grazing Area of the Cow?

A cow is tied to a 50 foot rope attached to the side of a barn 10 feet from a corner. The barn is a rectangle 20ft. by 40ft. What is the total grazing area for the cow?

Find the location of a pole in a rectangle.

Johnny green has a rectangular piece of ground. He places a pole in the gound five feet from the upper right corner. The same pole is nine feet from the lower right corner. It is also thirteen feet from the lower left corner. How far is the pole from the upper left corner?

Cow attached to a rope in a barn : What is the Grazing Area of the Cow?

A cow is tied to a 50 ft. rope attached to the side of a barn 10 ft. from a corner. The barn is a rectangle 20ft. by 40ft. What is the total grazing area for the cow?