Find the surface area of the cone. Round to the nearest tenth. 2. Find the surface area of a cone with a radius of 6 feet and a slant height of 10 feet. Round to the nearest tenth. 3. Find the slant height of a cone with a radius of 4 centimeters and a surface area of 48 square centimeters. Lesson 6 Menu
Recognize and define basic properties of spheres. Find surface areas of spheres. great circle hemisphere Lesson 6 MI/Vocab
Spheres and Circles In the figure, O is the center of the sphere, and plane P intersects the sphere in circle R. If OR = 6 centimeters and OS = 14 centimeters, find RS. Lesson 6 Ex1
Subtract 36 from each side. Spheres and Circles The radius of circle R is segment and S is a point on circle R and on sphere O. Use the Pythagorean Theorem for right triangle ORS to solve for RS. Pythagorean Theorem Simplify. Subtract 36 from each side. Use a calculator. Answer: RS is approximately 12.6 centimeters. Lesson 6 Ex1
In the figure, O is the center of the sphere, and plane U intersects the sphere in circle L. If OL = 3 inches and LM = 8 inches, find OM to the nearest tenth. A. 7.4 in. B. 8.5 in. C. 11 in. D. 8.7 in. A B C D Lesson 6 CYP1
Lesson 6 KC1
Surface area of a sphere A. Find the surface area of the sphere, given a great circle with an area of approximately 907.9 square centimeters. The surface area of a sphere is four times the area of the great circle. Surface area of a sphere Multiply. Answer: The surface area is approximately 3631.6 square centimeters. Lesson 6 Ex2
B. Find the surface area of a hemisphere with a radius of 3.8 inches. A hemisphere is half of a sphere. To find the surface area, find half of the surface area of the sphere and add the area of the great circle. Surface area of a hemisphere Substitution Use a calculator. Answer: The surface area is approximately 136.1 square inches. Lesson 6 Ex2
A. Find the approximate surface area of the sphere, given a great circle with an area of approximately 91.6 square centimeters. A. 183.2 cm2 B. 366.4 cm2 C. 287.8 cm2 D. 1151.1 cm2 A B C D Lesson 6 CYP2
B. Find the approximate surface area of a hemisphere with a radius of 6.4 inches. A. 128.7 in2 B. 257.4 in2 C. 386.0 in2 D. 514.7 in2 A B C D Lesson 6 CYP2
First, find the radius of the sphere. Find the surface area of a ball with a circumference of 24 inches to determine approximately how much leather is needed to make the ball. First, find the radius of the sphere. Circumference of a circle C = 24 Divide each side by Use a calculator. Lesson 6 Ex3
Surface area of a sphere Next, find the surface area of the sphere. Be sure to round to the nearest tenth. Surface area of a sphere Use a calculator. Answer: The surface area is approximately 183.3 square inches. Lesson 6 Ex3
Find the surface area of a ball with a circumference of 18 inches to determine how much leather is needed to make the ball. A. 51.6 in2 B. 254.5 in2 C. 412.5 in2 D. 103.1 in2 A B C D Lesson 6 CYP3