Cone practice problems - page 9 of 12
Number of problems found: 235
- Cone
The circular cone has height h = 29 dm and base radius r = 3 dm slice plane parallel to the base. Calculate the distance of the cone vertex from this plane if solids have the same volume. - Revolution 81339
The rotating cone has a volume of 120 dm³. How tall is a cylinder of revolution with the same volume as a cone of revolution? - Container NDR
A cone-shaped container with a bottom diameter of 60 cm and a side length of 0.5 m is filled with water. We pour the water into a container with the face of a cylinder with a radius of 3dm and a height of 20cm. Will the cylinder overflow or not be complet - Calculating 48151
A) Calculate the speed from the path calculation formula. B) From the formula for calculating the volume of the cone, express the radius r.
- Inscribed 6155
A cylinder with a height equal to half the height of the cone is inscribed in the rotating cone. Find the volume ratio of both bodies. - Cone in cube
The cube is an inscribed cone. Determine the ratio of the volume of the cone and cube. Please write the ratio as a decimal number and as a percentage. - Dimensions 81850
We used the same amount of paint to paint a cuboid with dimensions of 10 cm, 15 cm, and 3 cm to paint the shell of a cone whose radius is 8 cm. How tall is this cone? Calculate its volume in liters. - Cone
Into rotating cone with dimensions r = 8 cm and h = 8 cm is an inscribed cylinder with maximum volume so that the cylinder axis is perpendicular to the cone's axis. Determine the dimensions of the cylinder. - Gravel - cone
The mound of gravel has a regular circular cone shape with a height of 3.3 meters and a base circumference of 18.85 meters. How many cubic meters of gravel are in a pile? Calculate the weight of gravel if its density is p = 640 kg/cubic m.
- Cone in cylinder
The cylinder is an inscribed cone. Find the ratio of the volume of the cone and cylinder. Please write the ratio as a decimal number and as a percentage. - Rotary cone
The volume of the rotation of the cone is 733 cm³. The angle between the side of the cone and the base angle is 75°. Calculate the lateral surface area of this cone. - Cone
If the segment of the line y = -3x +4 that lies in the first quadrant is rotated about the y-axis, a cone is formed. What is the volume of the cone? - Right-angled trapezoid
A right-angled trapezoid with the measure of the acute angle of 50° is given. The lengths of its bases are 4 and 6 units. The volume of the solid obtained by rotation of the given trapezoid about the longer base is: - 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?
- Cylindrical 70024
We should grind a cylindrical rod with a diameter of 6 cm and a length of 20 cm to form a conical rod of the same size and the same base diameter. What will be the volume of material removed? - Rotary cone
A rotary cone whose height is equal to the circumference of the base has a volume 229 cm³. Calculate the radius of the base circle and the height of the cone. - An equilateral cone
Determine the radius and height (in centimeters) of an equilateral cone that has a volume of 1 liter. - The funnel The funnel has the shape of an equilateral cone. If you pour 3 liters of water into the funnel, calculate the area wetted with water.
- Maximum of volume
The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum?
How does the volume of a pyramid change if we triple its height?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
