What is the surface area, in square meters, of a cone with a slant height of 8 meters and a radius of 5 meters? Use 3.14 for pi and round to the nearest tenth, if necessary.
The surface area of a cone can be calculated using the formula:
Surface Area = πr^2 + πrℓ
where r is the radius and ℓ is the slant height.
Given:
Radius, r = 5 meters
Slant height, ℓ = 8 meters
Pi, π = 3.14 (rounded to two decimal places)
Substituting the given values into the formula, we have:
Surface Area = 3.14 * (5^2) + 3.14 * 5 * 8
Simplifying:
Surface Area = 3.14 * 25 + 3.14 * 40
Surface Area = 78.5 + 125.6
Surface Area ≈ 204.1
Therefore, the surface area of the cone is approximately 204.1 square meters.
To calculate the surface area of a cone, we'll first need to find the radius by halving the diameter.
Given:
Diameter = 12 feet
Radius:
Radius = Diameter / 2 = 12 / 2 = 6 feet
Slant height:
Slant height, ℓ = 14 feet
Pi, π = 3.14 (rounded to two decimal places)
The formula for the surface area of a cone is:
Surface Area = πr(r + ℓ)
Substituting the given values into the formula, we have:
Surface Area = 3.14 * 6(6 + 14)
Simplifying:
Surface Area = 3.14 * 6(20)
Surface Area = 3.14 * 120
Surface Area ≈ 376.8 square feet
Therefore, the surface area of the cone is approximately 376.8 square feet.
To find the surface area of the side of the cone, we need to use the formula:
Surface Area = πrℓ
Given:
Radius, r = 3 inches
Slant height, ℓ = 8 inches
Pi, π = 3.14 (rounded to two decimal places)
Substituting the given values into the formula, we have:
Surface Area = 3.14 * 3 * 8
Simplifying:
Surface Area = 3.14 * 24
Surface Area ≈ 75.36
Therefore, the surface area of the side of the cone is approximately 75.36 square inches, rounded to the nearest hundredth.
the third answer is 320.3 square units
To find the surface area of the side of a cone, we need to know the diameter and slant height.
Given:
Diameter = 6 inches
Radius (r) = Diameter / 2 = 6 / 2 = 3 inches
Slant height = 4 inches
The formula for the surface area of the side of a cone is:
Surface Area = πrℓ
Substituting the given values into the formula, we have:
Surface Area = 3.14 * 3 * 4
Simplifying:
Surface Area = 3.14 * 12
Surface Area ≈ 37.68
Therefore, approximately 37.68 square inches of parchment paper are needed to cover the side of the funnel, rounded to the nearest hundredth.
Bot, what is the surface area, in square centimeters, of a cone with a diameter of 12 feet and a slant height of 14 feet? Use 3.14 for pi and round to the nearest tenth, if necessary.
A cone shows a radius of 6 and hypotenuse or side as 11.
What is the surface area of the cone? Use 3.14 for pi and round to the nearest tenth, if necessary.