Geometry Answers

Find the lateral area and volume of the frustum of a right circular cone having a slant height of 14m and the radii of the bases are 4m and 1.5 m respectively.

Find the lateral area and volume of the frustum of a right circular cone having a slant height of 14m and the radii of the bases are 4m and 1.5 m respectively.

A spherical tank 4.5m in diameter contains water to a depth of 3m. Find the volume of the water. 

Find the height of a trapezoid with area of 99m2

 and the bottom base is twice the top base, 

which measures 6m.

While standing in line for the water fountain, Brian sees his lab partner 4 feet ahead of him and his best friend 7 feet to his right. Brian wants to go ask his lab partner a question, then go chat with his friend, and finally return to the water fountain line. How far will Brian have to walk in all? If necessary, round to the nearest tenth.

Each element of a circular conical pile of sand 6ft. high is inclined 45 degrees to the horizontal. How many cubic feet of sand does the pile contain?

A copper hot -water tank is in the form of a cylinder with a hemispherical cap and stands on a flat base . The internal diameter of the cylinder is 525 mm and the overall internal height is 1200 mm .

Calculate : (a) the volume of the tank in m ^ 3 (b) the capacity of the tank in litres

Draw a cuboids given by the point (6,5,2). Explain the meaning of quadric surface. Sketch the graph of x^2/4 + y^2/9 =1 in three dimensions.

5) A fruit crate has square ends and is twice as long as it is wide.

(a) Find the volume of the crate if its width is 20 inches.

(b) Find a formula for the volume V of the crate in terms of its width x.