# Body volume of a cone problems

#### Number of problems found: 69

• Hard cone problem The surface of the cone is 200cm², its height is 7 centimeters. Calculate the volume of this cone.
• Sphere in cone A sphere of radius 3 cm describes a cone with minimum volume. Determine cone dimensions.
• Cone in cylinder The cylinder is inscribed cone. Determine the ratio of the volume of cone and cylinder. The ratio express as a decimal number and as percentage.
• Cone in cube The cube is inscribed cone. Determine the ratio of the volume of cone and cube. The ratio express as a decimal number and as percentage.
• Cone If the segment of the line y = -3x +4 that lies in quadrant I is rotated about the y-axis, a cone is formed. What is the volume of the cone?
• Volume ratio Calculate the volume ratio of balls circumscribed (diameter r) and inscribed (diameter ϱ) into an equilateral rotating cone.
• Angle of cone The cone has a base diameter of 1.5 m. The angle at the main apex of the axial section is 86°. Calculate the volume of the cone.
• Cross-sections of a cone Cone with base radius 16 cm and height 11 cm divide by parallel planes to base into three bodies. The planes divide the height of the cone into three equal parts. Determine the volume ratio of the maximum and minimum of the resulting body.
• Rotating cone The rotating cone has a base diameter of 18 dm and a height of 12 dm. Calculate the volume V.
• Cone Calculate the volume of the rotating cone with a base radius 26.3 cm and a side 38.4 cm long.
• Volume of cone Find the volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm.
• 2x cone Circular cone height 84 cm was cut plane parallel with base. Volume of these two small cones is the same. Calculate the height of the smaller cone.
• Rotating cone Calculate volume of a rotating cone with base radius r=12 cm and height h=7 cm.
• Cone - from volume surface area The volume of the rotating cone is 1,018.87 dm3, its height is 120 cm. What is the surface area of the cone?
• Truncated cone Calculate the volume of a truncated cone with base radiuses r1=13 cm, r2 = 10 cm and height v = 8 cm.
• Rotary cone 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 height of the cone.
• Cone side Calculate the volume and area of the cone whose height is 10 cm and the axial section of the cone has an angle of 30 degrees between height and the cone side.
• Rotary cone The volume of the rotation of the cone is 472 cm3 and angle between the side of the cone and base angle is 70°. Calculate lateral surface area of this cone.
• Axial cut The cone surface is 388.84 cm2, the axial cut is an equilateral triangle. Find the cone volume.
• Cone Circular cone with 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.

Do you have an interesting mathematical word problem that you can't solve it? Submit a math problem, and we can try to solve it.

We will send a solution to your e-mail address. Solved examples are also published here. Please enter the e-mail correctly and check whether you don't have a full mailbox.

Please do not submit problems from current active competitions such as Mathematical Olympiad, correspondence seminars etc...