The front wheel of a steam roller is 2 m high and 8 m across. What is the entire surface area of the steam roller’s front wheel?a bc d
Question
What is the entire surface area of the steam roller’s front wheel?
The front wheel of a steam roller has the following dimensions:
- Height:
2 m
- Width:
8 m
Options:
- a
- b
- c
- d
Solution
The surface area of a cylinder (which is the shape of the steam roller's wheel) can be calculated using the formula: 2πrh + 2πr².
Here, r is the radius of the wheel and h is the height of the wheel.
Given in the question, the diameter of the wheel is 8 m, so the radius r is half of the diameter, which is 4 m. The height h of the wheel is given as 2 m.
Substituting these values into the formula, we get:
Surface area = 2π(4 m)(2 m) + 2π(4 m)² = 16π m² + 32π m² = 48π m²
So, the entire surface area of the steam roller's front wheel is 48π m².
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