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Volume of a Sphere and Hemisphere Video Lecture | Mathematics for Digital SAT

FAQs on Volume of a Sphere and Hemisphere Video Lecture - Mathematics for Digital SAT

1. What is the formula for the volume of a sphere?
Ans. The formula for the volume of a sphere is (4/3)πr^3, where r is the radius of the sphere.
2. How do you calculate the volume of a hemisphere?
Ans. The volume of a hemisphere is calculated using the formula (2/3)πr^3, where r is the radius of the hemisphere.
3. What is the difference between the volume of a sphere and a hemisphere?
Ans. The volume of a sphere is (4/3)πr^3, while the volume of a hemisphere is (2/3)πr^3. Therefore, a sphere has double the volume of a hemisphere.
4. How can understanding the volume of a sphere and hemisphere help in real-life applications?
Ans. Understanding the volume of a sphere and hemisphere is useful in various fields such as engineering, architecture, and manufacturing, where the design of spherical or hemispherical objects is involved, like tanks, domes, and balls.
5. What units should be used when calculating the volume of spheres and hemispheres?
Ans. When calculating the volume of spheres and hemispheres, the units used for the radius should be consistent, such as centimeters, meters, or inches. The resulting volume will then be in cubic units, like cubic centimeters, cubic meters, or cubic inches.
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