Ratio

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.

area

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

volume of this 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.

area of this 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

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

revolutions of a wheel

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

volume of this solid

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

area

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 the 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 fo this cone.

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.