Ratio of the Area of Two Triangles

Two sides of triangle RST are 6 and 10. Find the ratio of the area of triangle RSH to the area of triangle RHT if RH bisects angle SRT.

Find the area of a sector given radius and angle.

What is the area of a segment of a circle of radius 23 if it's central angle is 53 degrees? (nearest hundreth)

Ratio of Volume of a Sphere inside a Cylinder inside a Cube

A cube has a cylinder inscribed inside of it. 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.

Ratio of Area of Triangle to Hexagon

An equilateral triangle and a regular hexagon have equal perimeters. What is the ratio of the area of the triangle to the area of the hexagon?

Area of Hexagon Given Apothem

Find the area of a regular hexagon which has an apothem of 2 square root 3.

Find distance travelled given radius and revolutions of a wheel.

The radius of a wheel is 35 inchs. How far will the wheel travel in 15 revolutions?

Find the volume of cylinder with hemisphere sitting on top.

A cylinder of radius 9 has a hemisphere sitting on top. The total height of this solid is 30. How do I find the volume of this solid?

Area Bounded by Chord and Arc

In a circle, the arc of a chord is 2 pie square root 2. The radius of that circle is 3 square root 2. Find the area bounded by that chord and that arc.

Volume of Box Containing Spheres

240 spheres, each of radius 2, are placed in a box in 5 layers. There are 6 rows with 8 spheres in each row at each layer. The outside spheres are each tangent to the box and the spheres are tangent to those spheres next to them. Find the volume of the box which is between the spheres.

Volume of Cone from Circle with Missing Sector

A circle has a radius of 5. A sector of that circle has a central angle of 120 degrees. This sector is cut out and the two radii folded together thus forming a cone. Find the volume of that cone.