Use a net to find the surface area of the cone to the nearest square centimeter. Use 3.14 for л. The surface area of the cone is
2 answers:
The surface area of the cone rounded to the nearest whole number is; 346 cm²
<h3>How to determine the cone surface area?</h3>
We are given the parameters:
Radius; r = 5 cm
Slant height; l = 17 cm
The surface area is gotten from the formula;
A = πr(r +l)
Plug in the relevant values to get;
A = 3.14 × 5 × (5 + 17)
A = 345.5 square centimeters
Approximating to a whole number gives;
A = 346 square centimeters
Thus, the surface area of the cone is 346 square centimeters
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Answer:
289 cm²
Step-by-step explanation:
The net for the surface area of a cone is a circular sector representing the lateral area, together with a circle representing the area of the base. The arc length of the sector is equal to the circumference of the base.
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<h3>base area</h3>The area of the circular base is given by the area formula for a circle:
A = πr²
For the given radius, the area is ...
A = (3.14)(4 cm)² = 50.24 cm²
<h3>lateral area</h3>The circumference of the circular base is ...
C = 2πr = 2(3.14)(4 cm) = 25.12 cm . . . . also the arc length of the sector
The area of the sector is ...
A = 1/2hs . . . . where h is the radius of the sector, and s is its arc length
A = (1/2)(19 cm)(25.12 cm) = 238.64 cm²
<h3>total surface area</h3>The total surface area is the sum of the base area and the lateral area:
SA = 50.24 cm² +238.64 cm² = 288.88 cm² ≈ 289 cm²
The surface area of the cone is about 289 cm².
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