what is the surface area in square inches of a cone with a radius of 10 inches and a slant height of 15 in. use 3.14 for pi.
785 square inches
2198 square inches
471 square inches
1177.5 square inches
The formula for the surface area of a cone is given by:
Surface Area = πr(r + l)
where r is the radius and l is the slant height.
Given:
Radius (r) = 10 inches
Slant height (l) = 15 inches
π = 3.14
Plugging the values into the formula:
Surface Area = 3.14 * 10(10 + 15)
Surface Area = 3.14 * 10(25)
Surface Area = 3.14 * 250
Surface Area = 785 square inches
Therefore, the surface area of the cone is 785 square inches.
a cone has a radius of 25 cm and a height of 22 cm. what is the surface area? use 3.14 for pi
The formula for the surface area of a cone is given by:
Surface Area = πr(r + l)
where r is the radius and l is the slant height.
To calculate the slant height (l), we can use the Pythagorean theorem:
l = √(r^2 + h^2)
Given:
Radius (r) = 25 cm
Height (h) = 22 cm
π = 3.14
Plugging the values into the formula:
l = √(25^2 + 22^2)
l = √(625 + 484)
l = √1109
l ≈ 33.3 cm
Now we can calculate the surface area:
Surface Area = πr(r + l)
Surface Area = 3.14 * 25(25 + 33.3)
Surface Area = 3.14 * 25 * 58.3
Surface Area ≈ 4536.55 square cm
Therefore, the surface area of the cone is approximately 4536.55 square cm.
1354.125 square centimeters
2383.26 square centimeters
3689.5 square centimeters
863.5 square centimeters
The correct answer is 2383.26 square centimeters.
a spy glasses in the shape of a cone has a slant of 18 cm and a radius of 6 cm what is the surface area of the spyglass use 3.14 for pie
197.82 square centimeters
1356.48 square centimeters
452.16 square centimeters
399.12 square centimeters
The formula for the surface area of a cone is given by:
Surface Area = πr(r + l)
where r is the radius and l is the slant height.
Given:
Radius (r) = 6 cm
Slant height (l) = 18 cm
π = 3.14
Plugging the values into the formula:
Surface Area = 3.14 * 6(6 + 18)
Surface Area = 3.14 * 6(24)
Surface Area = 3.14 * 144
Surface Area ≈ 452.16 square centimeters
Therefore, the surface area of the spyglass is approximately 452.16 square centimeters.
A designer is creating a modern art sculpture of an hourglass out of steel to be on display at the town library. The hourglass is made by two cones meeting at the top point. The designer wants to know how many square feet of steel is needed for the outside of the sculpture, if the slant height of each cone is 5 feet and the diameter is 8 feet use 3.14 for pi
653.12 square feet
326.56 square feet
113.04 square feet
226.08 square feet
To calculate the surface area of the hourglass sculpture, we need to find the surface area of each cone and then add them together.
Given:
Slant height (l) = 5 feet
Diameter (d) = 8 feet
π = 3.14
Radius (r) = d/2 = 8/2 = 4 feet
Now, we can calculate the surface area of each cone:
Surface Area of Cone = πr(r + l)
Surface Area of Cone = 3.14 * 4(4 + 5)
Surface Area of Cone = 3.14 * 4(9)
Surface Area of Cone = 3.14 * 36
Surface Area of Cone = 113.04 square feet
Since we have two cones meeting at the top point, we need to double the surface area:
Total Surface Area of Sculpture = 2 * Surface Area of Cone
Total Surface Area of Sculpture = 2 * 113.04
Total Surface Area of Sculpture = 226.08 square feet
Therefore, the outside of the sculpture requires approximately 226.08 square feet of steel.
A cone-shaped megaphone has a radius of 15 centimeters and a slant height of 20 centimeters. A megaphone has an open bottom. What is the lateral surface area of the megaphone, in square centimeters? Use 3.14 for pi.
109.9 square centimeters
1884 square centimeters
942 square centimeters
1648.5 square centimeters