1 / 13

Surface Area & Volume of Spheres

Surface Area & Volume of Spheres. Section 11-6. Vocab. Sphere - the set of all points in space equidistant from a given point called the center . Radius - segment that has one endpoint at the center and the other endpoint on the sphere.

catrin
Download Presentation

Surface Area & Volume of Spheres

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Surface Area & Volume of Spheres Section 11-6

  2. Vocab • Sphere - the set of all points in space equidistant from a given point called the center. • Radius - segment that has one endpoint at the center and the other endpoint on the sphere. • Diameter - segment passing through the center with endpoints on the sphere.

  3. Surface Area of a Sphere

  4. S.A. = 4 r 2Use the formula for the surface area of a sphere. 18 2 = 4 • 92Substitute r== 9. = 324 Simplify. The surface area of the sphere is 324 ft2. Find the surface area of the sphere below. Leave your answer in terms of .

  5. Your turn • Find the S.A. of a sphere with a diameter of 14 in. Give your answer two ways, in terms of π and rounded to the nearest square inch. • 196π in2; 616 in2

  6. Step 1: Use the circumference to find the radius in terms of . C=2 r Use the formula for circumference. 13 2 13=2 r Substitute 13 for C. 13 2 = r Solve for r. S.A. = 4r 2Use the formula for the surface area of a sphere. = 4• ( )2Substitute for r. 13 2 169 =Simplify. 53.794371Use a calculator. The circumference of a rubber ball is 13 cm. Calculate its surface area to the nearest whole number. Step 2: Use the radius to find the surface area. To the nearest whole number, the surface area of the rubber ball is 54 cm2.

  7. Your turn • Find the S.A. of a melon with a circumference of 18 in. Round your answer to the nearest ten square inches. • 100 in2

  8. Volume of a sphere

  9. 4 3 V= r 3Use the formula for the volume of a sphere. 30 2 4 3 = • 153Substitute r = = 15. = 4500Simplify. The volume of the sphere is 4500 cm3. Find the volume of the sphere. Leave your answer in terms of .

  10. Your turn • Find the volume to the nearest cubic inch of a sphere with a diameter of 60 inches. • 113,097 in3

  11. 4 3 V= r 3Use the formula for the volume of a sphere. 4 3 1= r 3Substitute. 3 3 4 3 4 = r 3Solve for r 3. = r Find the cube root of each side. r0.62035049Use a calculator. The volume of a sphere is 1 in.3. Find its surface area to the nearest tenth. Step 1: Use the volume to find the radius r.

  12. S.A. = 4r 2Use the formula for the surface area of a sphere. 4.8359744Use a calculator. 4(0.62035049)2Substitute. (continued) Step 2: Use the radius to find the surface area. To the nearest tenth, the surface area of the sphere is 4.8 in.2.

  13. Your Turn • The volume of a sphere is 4200 ft3. Find S.A. to the nearest tenth. • 1258.9 ft3

More Related