Question

the diameters d length of a cylinder are measured as 10.8+_0. 1 and 24.0+_0.1 respectively. The curved surface area of cylinder in appropriate significant figures is ​

Answer 1

The curved surface area of cylinder = 814.3 ± 1.34 %  unit²    

Given:

The diameters d length of a cylinder are measured as 10.8±0. 1 and 24.0±0.1 respectively.

To find:

The curved surface area of cylinder in appropriate significant figures is. ​

Formula used:

The curved surface area of cylinder = $\pi$dh

Explanation:

The curved surface area of cylinder = $\pi$dh

That is curved surface area is a function of diameter and height.

% error in curved surface area =( $\frac{\Delta d}{d}$ + $\frac{\Delta h}{h}$) ×100

                                                  = ($\frac{0.1}{10.8}$ + $\frac{0.1}{24}$)  ×100

                                                  = 1.34 %

The curved surface area of cylinder = $\pi$dh = $\pi$ × 10.8 × 24 = 814.3 unit²    

The curved surface area of cylinder = 814.3 ± 1.34 %  unit²            

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