Questions: Calculate the Surface area of the following shapes:

Calculate the Surface area of the following shapes:
Transcript text: Calculate the Surface area of the following shapes:
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Solution

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Solution Steps

Step 1: Find the radius

The given diagram shows the diameter of the cone's base is 5cm. The radius is half the diameter, so the radius is 5cm / 2 = 2.5cm.

Step 2: Calculate the lateral surface area

The lateral surface area of a cone is given by the formula π * r * l, where r is the radius and l is the slant height. In this case, r = 2.5cm and l = 13cm. So, the lateral surface area is π * 2.5cm * 13cm ≈ 102.1 cm².

Step 3: Calculate the base area

The base of the cone is a circle. The area of a circle is given by the formula π * r². In this case, r = 2.5cm. So, the base area is π * (2.5cm)² ≈ 19.6 cm².

Step 4: Calculate the total surface area

The total surface area of the cone is the sum of the lateral surface area and the base area. Therefore, the total surface area is approximately 102.1 cm² + 19.6 cm² ≈ 121.7 cm².

Final Answer

The surface area of the cone is approximately 121.7 cm².

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