A 6 × 8 metal plate is resting inside a hemispherical bowl, whose radius is 13. The plate is parallel to the rim of the bowl, which is parallel to the tabletop on which the bowl is sitting. How far is it from the plate to the bottom of the bowl?

A frozen yogurt cone has a height of 12 centimeters and a diameter of 6 centimeters. A scoop of frozen yogurt sits on top of the cone. The scoop is a sphere with a diameter of 6 centimeters. If the entire scoop of frozen yogurt melts into the cone, will the cone overflow?

A man is tiling a tabletop using rectangular and square plastic tiles. He uses a pattern like that shown in the diagram. The rectangular tile "A" measures 15 x 5 cms. What is the distance X to Y? What is the area of square tile B? How many tiles would be needed if the sides of the pattern were trebled in length? The man finds that he can only buy square tiles which measure 5 x 5 cms. He cannot buy rectangular tiles. How many small square tiles would he need to fill the diagram?

What kind of shape is created from the cross section seen here on the square pyramid?

For proper airflow, a rectangular duct must have an area of 123.25 sq cm.Theduct must be placed in the wall and must have a width of 8.5 centimeters.What must the length of the duct opening be?

An angle iron 43.5 inches long has two drilled holes that are equally spaced from the center of the piece. The center distance between the holes is 19.875 inches. What is the distance from each end of the piece to the center of the closest hole?

A candle shaped like a square pyramid needs wrapped in paper. How much paper is needed to cover a candle that has a base side of 6 centimeters and a slant height of 10 centimeters?

A delivery company only accepts packages whose length plus girth is less than 240 centimetres where the length is the greater dimension and girth is the largest distance around it, perpendicular to the length. State the greatest volume (in centimetres cubed) of a rectangular box with square base accepted by the company for delivery.

Find the radius of a cylinder with a volume of 2826cm 3 and height 36cm.

A triangular prism has a base that is a right triangle and looks like this 6 cm 10 cm 8 cm If the height of the prism is 30 centimeters, what is the surface area of the prism?