Circle + volume - practice problems - page 6 of 7
Number of problems found: 140
- Volcano
The volcano's crater is approximately in the shape of a cone with a base of 3.1416 square miles. The crater's depth is 1500 ft. How many cubic yards of earth would be required to fill this cavity? - Cylinder-shaped 71384
My father installed a cylinder-shaped pool in the garden with a bottom diameter of 6 m and a height of 1.5 m. how many hectoliters of water can fit in the pool? How many m² of space must be cleaned after draining the pool? - Gold wire
From one gram of gold was pulled wire 1.4 km length. What is its diameter if the density of Au is ρ=19.5 g/cm³? - Volume of cone
Find the volume of a right circular cone-shaped building with a height of 9 m and a radius base of 7 m.
- 9-gon pyramid
Calculate a nine-sided pyramid's volume and surface, the base of which can be inscribed with a circle with radius ρ = 7.2 cm and whose side edge s = 10.9 cm. - Nine-sided 36071
Calculate the surface area and volume of a regular nine-sided pyramid if the radius of the circle inscribed in the base measures ρ = 12 cm and the height of the pyramid is 24 cm - Round flowerbed
Around a round flowerbed with a diameter of 6 meters, I will make a sidewalk up to 0.5 meters wide. How much gravel is needed if the layer is 5 cm high? - Height as diameter of base
The rotary cylinder has a height equal to the base diameter and a surface of 471 cm². Calculate the volume of a cylinder. - Calculate 43951
Calculate the radius of the base of the cylinder with a volume of 10 dm³ and a height of 15 cm.
- Calculate 65014
The radius of the circle is 5.5 cm. The height is 2.3 cm, which is the chord's distance. How can we calculate the length of the string? - Cone
The circular cone of height 15 cm and volume 5699 cm³ is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut. - Determine 6376
There are 62.8 liters of water in the cylinder. The water level is 0.5 meters. Determine the bottom diameter. - Hexagonal 8200
The tops of the base of a regular hexagonal pyramid lie on a circle with a radius of 10 cm. The height of the pyramid is 12cm. What is its volume? - Calculate 2577
Calculate the length of the circle chord, which is 2.5 cm from the circle's center. The radius is 6.5 cm.
- From plasticine
Michael modeled from plasticine a 15 cm high pyramid with a rectangular base with the sides of the base a = 12 cm and b = 8 cm. From this pyramid, Janka modeled a rotating cone with a base diameter d = 10 cm. How tall was Janka's cone? - Pentagonal prism
The regular pentagonal prism is 10 cm high. The radius of the circle of the described base is 8 cm. Calculate the volume and surface area of the prism. - Circular 7894
A 2 cm thick layer of ice formed in the circular water tank. What part of the tank's water (answer in percent) froze if the tank has a diameter of 20 m and a depth of 1.5 m? - Costume
Denisa is preparing for a goldsmith's costume carnival. During the preparations, she thought she would let her hair wipe instead - she would apply a 5 μm thick layer of gold to each hair. How much gold would Denisa need? Assume that all hundred thousand D - Spherical cap
Calculate the volume of the spherical cap and the areas of the spherical canopy if r = 5 cm (radius of the sphere), ρ = 4 cm (radius of the circle of the cap).
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