# The glass

The glass has the shape of a cylinder with an inner diameter of 12 cm, and the height from the bottom is 16 cm. The cut skewer can be inserted diagonally into the glass so it does not protrude beyond the edge. What is the largest possible length of the cut skewer?

(The thickness of the skewer is neglected in the calculation.)

(The thickness of the skewer is neglected in the calculation.)

### Correct answer:

Tips for related online calculators

#### You need to know the following knowledge to solve this word math problem:

#### Units of physical quantities:

#### Grade of the word problem:

## Related math problems and questions:

- A metal

A metal cylinder is inserted into the cube with a 20 cm edge so that the cylinder shell. Its two bases are in close contact with the cube's walls from the inside. How much water could be poured into the free space between the cube and the cylinder so that - Cylinder-shaped 30381

Evelina wanted to pour 2 liters of lemonade into a cylinder-shaped glass with a bottom diameter of 5 cm and a height of 8 cm. What is the volume of the glass, and can 2dl of lemonade fit in it? - Juice-soaked 17173

1. Find the dimensions of a 5-liter cylindrical container if the height of the container is equal to the radius of the base. 2. There is three dl of juice in a cylindrical glass with an inner diameter of 8 cm. Calculate the area of the juice-soaked port - Cylindrical 7891

Is it possible to pour water from a full cube-shaped container measuring 8 cm, 10 cm, and 12 cm into a cylindrical container with a bottom diameter of 12 cm and a height of 8 cm? - Diameter 6289

A circle with the largest possible diameter is cut from a square with a side length of 35 cm. What percent of the square area is waste? - Glass panel

A rectangular glass panel with dimensions of 72 cm and 96 cm will cut the glazier on the largest square possible. What is the length of the side of each square? How many squares does the glazier cut? - Glass of juice

The glass of juice-shaped cylinder 16 cm height and base diameter of 9 cm is filled with juice so that the level is 1 cm below the rim of the glass. Determine the maximum angle of the cup that we can tilt so the juice doesn't overflow. - Cylindrical 3395

The cylindrical vase is 28 cm high. Its inner diameter d = 1.1 dm. How many liters of water will fit in it if the bottom thickness is 1.5 cm? - Cylindrical tank

9.6 hl of water is poured into a cylindrical tank with a bottom diameter of 1.2 m. What height in centimeters does the water reach? - Three 205

Three metallic bars of lengths 400 cm, 600 cm, and 720 cm are cut into equal pieces. Find the largest possible area of a square that can be made from any of the three bars. - Octagonal prism vase

We can pour 0.7 l of water into an octagonal prism vase. The vase has the bottom has an area of 25 cm square and a thickness of 12 mm. What is the height of the vase? - Metal balls

Four metal balls with a diameter of 5 cm are placed in a measuring cylinder with an inner diameter of 10 cm. What is the smallest water volume to be poured into the cylinder so that all balls are below the water level? - Deformation 6260

The carpet is wound on a cardboard roll in the shape of a cylinder with a diameter of d=12cm and a length of l=2m. The rolled-up carpet has an outer diameter of D=38cm, and the thickness of the rug is 8mm. What area can the carpet cover after unfolding? D - Cross-section 32163

The bottom of the garden pool of circular cross-section has an inner diameter of d = 4 m. The water depth is 0.8 m. How many liters of water can we fill into the pool? - Diameter 7648

The mug has the shape of a cylinder with a height of 60.7 mm. There is two dl of water in it. If we dip a ball with a diameter of 40 cm into the water, the water will not overflow. What is the minimum diameter of the cup? - The largest

We cut the largest possible cylinder from a 20 cm cube. What is the volume of this cylinder? - Conva

How many liters of water fit into the shape of a cylinder with a bottom diameter of 20 cm and a height of 45 cm?