Answer:
[tex]\boxed{\boxed{\pink{\tt \leadsto The \ Surface\ Area \ is \ 402.28\ in.^3. }}}[/tex]
Given that the the diameter of a cylinder is 8 inches. the height is 12 inches. And we need to find its surface area .
Hence here ,
Figure :-
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[tex]\bf\implies TSA_{Cylinder}= 2\pi r ( r + h) \\\\\bf\implies TSA_{Cylinder} = 2\pi \dfrac{8\ in.}{2} \bigg( \dfrac{8\ in.}{2} + 12 in.\bigg)\\\\\bf\implies TSA_{Cylinder} = 2\pi \times 4 ( 4 \ in.+ 12 \ in.) \\\\\bf\implies TSA_{Cylinder}= 8 \times \dfrac{22}{7}\times 16 in.^3 \\\\\bf\implies\boxed{\red{\bf TSA_{cylinder}= 402.28 in.^3}}[/tex]
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The surface area of the cylinder is 402.124 inches².
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.
The surface area of a cylinder is the sum of the area of the base and the lateral area of the curved cylinder.
Given that the diameter of the cylinder is 8 inches, while the height of the cylinder is 12 inches. Since the radius is half the length of the diameter. Therefore, the radius of the given cylinder is 4 inches.
Now, the surface area of the cylinder is,
Surface area of the cylinder = Area of the bases + Area of the curved surface
= 2(πr²) + 2πrh
= 2(π × 4²) + (2 × π × 4 × 12)
= 2(50.265) + 301.5928
= 100.5309 + 301.5928
= 402.124 inches²
Hence, the surface area of the cylinder is 402.124 inches².
Learn more about Cylinder here:
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