3D Applications of Pythagorean Theorem

Determine the height of the cylinder. Round to the nearest tenths place.

• 7.4

• 11.5

• 14.3

• 11.0

• 14.6

The composite figure shown was created using a cone and a hemisphere (half-sphere) that share the same base. Determine the radius and diameter of the composite figure. Round to the nearest tenth.

• radius: 24

  diameter: 48

• radius: 12

  diameter: 24

• radius: 6

  diameter: 12

• radius: 27.9

  diameter: 55.8

A swimming pool has the dimensions shown. Use x to represent the length of the diagonal that goes from the bottom corner to the top corner at the opposite end of the pool, as shown by the diagonal dotted line. What is the value of x? 

• 31.3

• 32.3

• 33.3

• 64

What is the approximate length of c?

• 3

• 1.732

• 1

• 2.449

What is the distance the spooky spider travels if it crawls up the entire diagonal inside the coffin.

• 2 units

• 6 units

• 100 units

• 32 units

What is the approximate width of the base?

• 7 ft

• 5 ft

• 3 ft

• 2 ft

What is the approximate length of the blue line?

• 6.56

• 23

• 45

• 3.32

The square base of the pyramid has an area of 144 square feet. If the slant height of the pyramid is 10 feet, what is the height of the pyramid?

• 7 feet

• 8 feet

• 16 feet

• 144 feet

An Egyptian pyramid has a square base that measures 80 meters on each side. If the height of the pyramid is 30 meters, what is the slant height of the pyramid?

• 26 meters

• 50 meters

• 74 meters

• 85 meters