Question

The radius of the base of a cone is 4.5 cm while its perpendicular height is 5.2 cm. Find the total surface area of the cone.​

Answer 1

Answer:

137.13

Step-by-step explanation:

Given that:

radius of the base of a cone r = 4.5 cm

height h = 5.2 cm

We know that the surface area of a cone is equal to the curved surface area plus the area of the base:

$\pi r^2 + \pi L r\\= \pi(4.5^2 + (4.5*5.2))\\= 43.65\pi\\= 137.13 (approx)$

Answer 2

Total surface area of the cone is about 160.75 cm² if radius of the base of a cone is 4.5 cm and perpendicular height is 5.2 cm

Given:

• A cone
• Radius of Base = 4.5 cm
• Perpendicular Height = 5.2 cm

To Find:

• Total Surface area of the cone

Solution

• TSA ( Total Surface Area) of the cone is given by:
• TSA = πr² + πr√(r² + h²)
• where r = radius of the base
• h = perpendicular height of the cone
• √(r² + h²) = slant height

Step 1 :

Substitute r = 4.5 and  h = 5.2 in TSA = πr² + πr√(r² + h²)

TSA = π(4.5)² + π(4.5)√((4.5)² + (5.2)²)

Step 2 :

Use π = 3.14 and calculate the value

TSA = 3.14(4.5)² + 3.14(4.5)√((4.5)² + (5.2)²)

TSA = 160.75  cm²

Total surface area of the cone. is about 160.75 cm²

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