Length + cone - practice problems
Number of problems found: 40
- A cone 3
A cone has a diameter of x cm and a slant height of y cm. A square pyramid has a base side length of x cm and a slant height of y cm. Which has the greater surface area? Explain. - Calculate 82700
A cone of rotation with a radius of 32 cm and side length s = 65 cm is given. Calculate the surface area and volume. - Calculate 82690
A cone of rotation with a height of 18 cm and side length s = 45 cm is given. Calculate the surface area and volume. - Semicircle 82687
If the shell of a cone is a semicircle, then the diameter of the cone's base is equal to its side's length. Prove it.
- Determine 82032
Determine the volume and surface area of a cone whose slope of length 8 cm makes an angle of 75 degrees with the plane of the base. - Millimeter 81160
Calculate the length of the side of the cone; they rounded the result to tenths of a millimeter. If you know: radius 24 mm and height 46 mm - Equilateral 81142
The rotating body was created by rotating an equilateral triangle with a side length of a=2 cm around one of its sides. Calculate the volume of this rotating body. - 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? - Calculating 63344
Calculate the volume of the cone formed by rotating an isosceles triangle about the height of the base. The triangle has a side length of 15 cm and a height to the base of 12 cm. When calculating, use the value pi = 3.14 and round the result to one decima
- Axial section
Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm. - Calculate 44541
Calculate the surface and volume of the cone if you know that the base radius r = 5 dm and the side length s = 7 dm. - Pepíček 39811
Pepíček went to school on the first day. Dad made him a paper cone for sweets in the shape of a cone with a side length of 50 cm and a base radius of 10 cm. How many cm² of paper did he need to make the cone? - Surface area and volume
Find the surface area and volume of a rotating cone whose diameter is 60 mm and side length 3.4 cm. - Calculate 32321
The shell of the cone is 62.8 cm². Calculate the side length and height of this cone if the diameter of the base is 8 cm.
- Two vases
Michaela has two vases in her collection. The first vase has the shape of a cone with a base diameter d = 20 cm; the second vase has the shape of a truncated cone with the lower base d1 = 25 cm and the diameter of the upper base d2 = 15 cm. Which vase can - Cone - from volume surface area
The volume of the rotating cone is 1,018.87 dm3, and its height is 120 cm. What is the surface area of the cone? - Cone - side
Find the cone's surface area and volume if its height is 125 mm and the side length is 17 cm. - Calculate 30971
Calculate the cone's surface and volume if its base diameter is 1 dm and the side length is 13 cm. - Rotating 28501
Which bags shaped like the shell of a rotating cone can hold the most popcorn? The first bag has a height of 20 cm, and the length of its side is 24 cm. The second bag has a base radius of 10 cm and a height of 25 cm.
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