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Calculating the Volume and Surface Area of Spheres and Related Solids, Study notes of Analytical Geometry and Calculus

Dakota State University (DSU)Analytical Geometry and Calculus

A series of exercises and notes on calculating the volume and surface area of spheres and related solids, including hemispheres and cylinders with hemisphere bases. It covers various methods for finding the radius, diameter, and circumference of spheres and hemispheres, as well as the formulas for their volumes and surface areas.

Typology: Study notes

2021/2022

Uploaded on 09/12/2022

lalitdiya
lalitdiya 🇺🇸

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12.6 Volume of a
Sphere
1. Find the volume of a sphere whose radius is 5 cm.
2. Find the volume of the quarter sphere. 3. Find the volume and surface area of the
hemisphere below.
4. If the surface area of a sphere is 256 in2, 5. If the volume of a sphere is 972 cm3, find the
find the radius and the volume of the sphere. radius and the surface area of the sphere.
6. Find the surface area and volume of the solid at the right.
4 cm.
11 cm
Diameter = 12 cm
24 cm
12.6 Notes
Surface Area of a Sphere: Volume of a Sphere
pf2

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Download Calculating the Volume and Surface Area of Spheres and Related Solids and more Study notes Analytical Geometry and Calculus in PDF only on Docsity!

12.6 Volume of a

Sphere

  1. Find the volume of a sphere whose radius is 5 cm.
  2. Find the volume of the quarter sphere. 3. Find the volume and surface area of the hemisphere below.
  3. If the surface area of a sphere is 256 in^2 , 5. If the volume of a sphere is 972 cm^3 , find the find the radius and the volume of the sphere. radius and the surface area of the sphere.
  4. Find the surface area and volume of the solid at the right.

4 cm.

11 cm

Diameter = 12 cm

24 cm

  1. 6 Notes

Surface Area of a Sphere: Volume of a Sphere

  1. If the great circle of the hemisphere has a circumference of 6 in, find the surface area and volume of the solid at the right.

f

  1. In your chemistry lab, you use test tubes that are in the shape of a cylinder with a hemisphere bottom. The radius of the hemisphere is 2 and the height of the entire test tube is 15. What volume would this test tube hold?

  2. A container of ice cream is in the shape of a cylinder with a diameter of 5 inches and a height of 7inches. You take out a hemisphere scoop of ice cream 1.2 inches deep. What volume of ice cream is left?

  3. You buy balloons that claim to hold 250 cubic liters of air. What would the radius of these spherical shaped balloons be? (Round to the nearest hundredth).

  4. A large child’s ball is made with a sphere of rubber. The outer diameter of the ball is 30 in and the inner diameter is 26in. How much material is needed to make this?

60 