A spherical tank for storing liquid nitrogen has a diameter of 8 meters. The tank needs to be insulated, and the insulation material is sold in rolls that cover 15 square meters per roll. How many rolls of insulation material are needed? (Use π ≈ 3.14)
Options
A
7 rolls
B
8 rolls
C
9 rolls
D
14 rolls
Answer & Analysis
Answer
D
Analysis
Question Analysis
- This question involves the application of the formula for the surface area of a sphere in a real - world context.
The main focus is on calculating the surface area of a spherical tank and then determining the number of rolls of insulation material needed to cover it, while also dealing with practical considerations such as rounding up the number of rolls.
Key Concept Explanation
- The key concept is the formula for the surface area of a sphere, which is .
-
Step - by - Step Solution
- First, we find the radius of the sphere.
Given the diameter meters, the radius meters.
- Then we calculate the surface area using the formula .
Substituting meters and , we get
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