The cylinder
In a rotating cylinder, it is given: the surface of the shell (without bases) S = 96 cm2 and the volume V = 192 cm cubic. Calculate the radius and height of this cylinder.
Correct answer:
Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
Tip: Our volume units converter will help you convert volume units.
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
Tip: Our volume units converter will help you convert volume units.
You need to know the following knowledge to solve this word math problem:
- algebra
- quadratic equation
- equation
- system of equations
- expression of a variable from the formula
- biquadratic equation
- solid geometry
- surface area
Units of physical quantities:
Grade of the word problem:
Related math problems and questions:
- Rotary cylinder
In the rotary cylinder it is given: surface S = 96 cm² and volume V = 192 cm cubic. Calculate its radius and height. - Calculate 82549
The cylinder has a shell surface of 88 square cm and a volume of 176 cubic cm. Calculate the radius, height, and surface area of the given solid. - Calculate 20893
The volume of the cylinder is 193 cm³, and the radius of its base is 6.4 cm. Calculate the height and surface of the cylinder to 1 decimal place. - I need
I need to calculate the height of the cylinder. I have a given that the radius is 6 cm and the volume is 282.6 cm³. What is the formula for this?
- Calculate 3956
The rotating cylinder has a diameter of 14 cm and a surface of 1,186.92 cm square. Calculate the height of the cylinder. - Cylinder surface, volume
The area of the base and the area of the shell are in the ratio of 3:5. Its height is 5 cm less than the radius of the base. Calculate both surface area and volume. - Roller
The cylinder shell has the same area as one of its bases. The cylinder height is 23 dm. What is the radius of the base of the cylinder? - Cylinder surface area
The volume of a cylinder whose height is equal to the radius of the base is 678.5 dm³. Calculate its surface area. - Calculate 5115
In the rotating cylinder, it is given: V = 120 cm3, v = 4 cm. Calculate r, S mantle.
- Calculation 29971
Cylinder height and radius calculation The rectangle ABCD | AB | is given = 8 cm, | BC | = 4 cm. Determine the height and radius of the cylinder, which is created by rotating the rectangle around the line AB. - Shell area cy
The cylinder has a shell area of 300 cm square, while the height of the cylinder is 12 cm. Calculate the volume of this cylinder. - Equilateral cylinder
A sphere is inserted into the rotating equilateral cylinder (touching the bases and the shell). Prove that the cylinder has both a volume and a surface half larger than an inscribed sphere. - Surrounded 8283
The cube has an edge length of 5 cm. This cube surrounds a rotating cylinder. Find the surface area of the shell and the volume of the cylinder. - Rotary bodies
The rotating cone and the rotary cylinder have the same volume of 180 cm³ and the same height, v = 15 cm. Which of these two bodies has a larger surface area?
- Calculate 4689
The area of the rotating cone shell is 240 cm2, and the area of its base is 160 cm². Calculate the volume of this cone. - Dimensions: 27511
Calculate the surface of the paper cylinder (without lid) with dimensions: bottom radius: 7 cm, cylinder height: 22 cm. - Shell of cylinder
Calculate the area of the shell of the 1.6 m height cylinder with a base radius of 0.4 m.