MATH SOLVE

2 months ago

Q:
# Find the surface area of a conical grain storage tank that has a height of 30 meters and a diameter of 14 meters. Round the answer to the nearest square meter.

Accepted Solution

A:

Total Surface Area of a cone = πr² + πrh

Radius = Diameter ÷ 2 = 14 ÷ 2 = 7

Find Slanted Height:

a² + b² = c²

7² + 30² = c²

c² = 947

c= √947

c = 30.77

Slanted Height = 30.77m

Total Surface Area = πr(7)² + π(7)(30.77)

Total Surface Area = 831 m² (nearest m²)

Answer: 831 m²

Radius = Diameter ÷ 2 = 14 ÷ 2 = 7

Find Slanted Height:

a² + b² = c²

7² + 30² = c²

c² = 947

c= √947

c = 30.77

Slanted Height = 30.77m

Total Surface Area = πr(7)² + π(7)(30.77)

Total Surface Area = 831 m² (nearest m²)

Answer: 831 m²