Practice problems of the sphere
Number of problems found: 126
- Sphere volume formula
If V=4/3 π r3, find, the value of V when r = 7, the value of r when V=113 1/7
- Sphere submerged in the cone
A right circular cone with a top width of 24 cm and an altitude of 8 cm is filled with water. A spherical steel ball with a radius of 3.0cm is submerged in the cone. Find the volume of water below the sphere.
- The golf
The golf ball with a diameter of 43 mm is packed in a cube-shaped box. What percentage of the box volume is made up of a ball?
- The volume 6
The volume of a sphere is given by the formula 4/3 πr³ (or 4/3 *pi *r3) . The value of pi is approximately equal to 3.14. What is the volume of a sphere whose radius is 4 cm? (Round of the answer to the nearest hundredths. Type the value withou
- A semi-circular
A semi-circular fishbowl is filled with water and has a diameter of 10 feet. What is the total weigh of water to the nearest pound in the tank, if water weighs 62.5 pounds per cubic foot?
- The inflated
The inflated gymnastic ball should have a diameter of 65 cm. How many times do we have to pump air into a fully blown ball with a bicycle inflator to inflate it if the working volume of the inflator is a cylinder with an inner diameter of 2 cm and a heigh
- The granite ball
What is the weight of a granite ball with a radius of 60 cm, if 1 m³ of granite weighs 2.7 tons?
- Brass ball
What is the weight of a hollow brass ball, the outer diameter of which is 16 cm and the wall thickness is 2 cm, while the density of brass is ϱ = 8.5 g
- The reservoir
The reservoir has the shape of a sphere with a diameter of 7.5 m. How many hectoliters can max fit in a reservoir?
- How many 9
How many percent volume remain of a sphere if diameter decrease 3×?
- Earth rotation
How fast is the place on the Earth's equator moving if the Earth's radius is 6378 km?
- Find x 2
Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100. Write down the number of solutions.
- Sphere cut
A sphere segment is cut off from a sphere k with radius r = 1. The volume of the sphere inscribed in this segment is equal to 1/6 of the segment's volume. What is the distance of the cutting plane from the center of the sphere?
- The volume
The volume of the sphere is 1 m3, what is its surface?
- Thousand balls
We have to create a thousand balls from a sphere with a diameter of 1 m. What will be their radius?
- Volume of sphere
How many times does the volume of a sphere increase if its radius increases 2 ×?
- Gas sphere
The gas tank has the shape of a sphere with a diameter of 14 m. How many m³ of gas will fit in it?
- Clay balls
How many clay balls with a radius of 1 cm can be made from a ball of clay with a radius of 8 cm?
- Volume ratio
Calculate the volume ratio of balls circumscribed (diameter r) and inscribed (diameter ϱ) into an equilateral rotating cone.
- Twice of radius
How many times does the surface of a sphere decrease if we reduce its radius twice?
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