Cylinder Surface Area Calculation Explained
This problem asks us to calculate the total surface area of a cylinder given its radius and height. The total surface area includes the area of the top and bottom circular bases and the area of the curved side surface.
Given Information
- Radius of the cylinder, r = 7 feet
- Height of the cylinder, h = 14 feet
- Value of Pi, $\pi = \frac{22}{7}$
Formula for Total Surface Area
The formula for the total surface area (TSA) of a cylinder is:
TSA = $2 \pi r (r + h)$
Step-by-Step Calculation
Now, let's substitute the given values into the formula:
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Substitute the values of r, h, and $\pi$ into the formula:
TSA = $2 \times \frac{22}{7} \times 7 \times (7 + 14)$
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Simplify the expression inside the parenthesis:
TSA = $2 \times \frac{22}{7} \times 7 \times (21)$
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Cancel out the 7 in the denominator with the radius:
TSA = $2 \times 22 \times 1 \times (21)$
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Perform the multiplication:
TSA = $44 \times 21$
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Calculate the final result:
TSA = $924$
Final Answer
The total surface area of the cylinder is calculated to be 924 square feet.
Similar Questions
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- Find the surface area of a ball of radius 21 mm. (Use $\pi = \frac{22}{7}$)
- The volume of a metallic cylindrical pipe is $1232\text{ cm}^3$. If its external radius is 8 cm and thickness is 2 cm, then find the length of the pipe.
A hemispherical bowl has a 21 cm radius. It is to be painted inside as well as outside. The cost of painting it at the rate of ₹0.05 per $cm^2$ and assuming that the thickness of the bowl is negligible, is: (Use $\pi = \frac{22}{7}$)
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(Take $\pi = \frac{22}{7}$)
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A solid cube is painted yellow, blue and black such that opposite faces are of same colour. The cube is then cut into 36 cubes of two different sizes such that 32 cubes are small and the other four cubes are Big. None of the faces of the bigger cubes is painted blue. How many cubes have only one face painted?
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