Cone - practice for 13 year olds - page 5 of 6
Number of problems found: 119
- Surface and volume
Find the surface and volume of the rotating cone if the circumference of its base is 62.8 m and the side is 25 m long. - Cone 15
The radius of the base of a right circular cone is 14 inches, and its height is 18 inches. What is the slant height? - Axial section
Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm. - The rotating
The rotating cone has a height of 0.9 m, and the diameter of the base is 7.2 dm. Calculate the surface of the cone. (Hint: use Pythagorean theorem for a side of cone)
- The cone - S,V
Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm. - Cone
Calculate the volume of the rotating cone with a base radius of 26.3 cm and a side 38.4 cm long. - Circumference 23311
Calculate the circumference of the cone base; round the result to millimeters. If you know: radius 24 mm and height 46 mm. - 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?
- Cone in cube
The cube is an inscribed cone. Determine the ratio of the volume of cone and cube. Please write the ratio as a decimal number and as a percentage. - Container 15093
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 - 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. - 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
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? - 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. - Pyramid 7903
How does the volume of a pyramid change if we triple its height? - Sphere in cone
A sphere is inscribed in the cone (the intersection of their boundaries consists of a circle and one point). The ratio of the ball's surface and the area of the base is 4:3. A plane passing through the axis of a cone cuts the cone in an isosceles triangle
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