a cook wants to cover the side of a cone-shaped funel with parchment paper to avoid any leaks or spills. The funnel has a diameter of 6 inches and a slant height of 4 inches. How many square inches of parchment paper is needed to cover the side of the funnel? Use 3.14 for pi and round you answer to the nearest hundredth
To find the surface area of the side of the funnel, we need to calculate the lateral area of the cone.
The slant height (l) of the cone is given as 4 inches.
The formula for the lateral area of a cone is: Lateral Area = π * r * l, where r is the radius of the base and l is the slant height.
Given that the diameter (d) of the base is 6 inches, the radius (r) can be calculated as half of the diameter: r = d/2 = 6/2 = 3 inches.
Now we can substitute the values into the formula to find the lateral area of the cone:
Lateral Area = π * 3 * 4 ≈ 37.68 square inches (rounded to the nearest hundredth).
Therefore, approximately 37.68 square inches of parchment paper is needed to cover the side of the funnel.
a waffle cone is in the shape of a cone with a slant height of 8 inches and a radius of 3 inches. A baker wants to know the surface area of the cone in order to cover the cone with melted chocolate. What is the surface area of the side of the cone in square inches? Use 3.14 for pi and round your answer to the nearest hundredth
To find the surface area of the side of the cone, we need to calculate the lateral area of the cone.
The slant height (l) of the cone is given as 8 inches.
The radius (r) of the cone is given as 3 inches.
The formula for the lateral area of a cone is: Lateral Area = π * r * l.
Substituting the given values into the formula:
Lateral Area = 3.14 * 3 * 8 = 75.36 square inches (rounded to the nearest hundredth).
Therefore, the surface area of the side of the waffle cone is approximately 75.36 square inches.
a designer is creating a modern art sculpture of a 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
To find the surface area of the outside of the sculpture, we first need to calculate the lateral area of each cone.
The slant height (l) of each cone is given as 5 feet.
The diameter (d) of each cone is given as 8 feet, so the radius (r) can be calculated as half of the diameter: r = d/2 = 8/2 = 4 feet.
The formula for the lateral area of a cone is: Lateral Area = π * r * l.
Substituting the given values into the formula for each cone:
Lateral Area of each cone = 3.14 * 4 * 5 = 62.8 square feet.
Since there are two cones in the hourglass sculpture, we need to multiply the lateral area of one cone by 2 to get the total surface area of the outside of the sculpture:
Total surface area = 62.8 * 2 = 125.6 square feet.
Therefore, approximately 125.6 square feet of steel is needed for the outside of the hourglass sculpture.
To find the surface area of the side of the cone-shaped funnel, we need to calculate the lateral area.
The lateral area of a cone can be found using the formula:
Lateral Area = π * r * slant height
Given that the diameter of the funnel is 6 inches, the radius would be half of the diameter, which is 6/2 = 3 inches.
Using the given slant height of 4 inches and π = 3.14, we can calculate the lateral area as:
Lateral Area = 3.14 * 3 * 4
Lateral Area = 37.68 square inches
Round the answer to the nearest hundredth gives us:
Lateral Area ≈ 37.68 square inches
Therefore, approximately 37.68 square inches of parchment paper is needed to cover the side of the funnel.