A spherical water tank has a diameter of 10 meters. The city needs to paint the outer surface of the tank to prevent rusting. A can of paint covers 20 square meters. How many cans of paint are needed? (Use π ≈ 3.14)
Options
A
7
B
8
C
16
D
17
Answer & Analysis
Answer
C
Analysis
Question Analysis
This question requires using the surface area formula of a sphere to solve a practical problem about the amount of materials needed.
The main focus is on calculating the surface area of the tank, converting the diameter to radius, and then determining the number of paint cans.
Key Concept Explanation
First, find the radius from the diameter (), then use the surface area formula .
Finally, divide the total surface area by the area covered by one can of paint to find the number of cans.
Step - by - Step Solution
Given meters, then meters.
Calculate the surface area: , ,
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