The cone-shaped lampshade has a diameter of 30 cm and a height of 10 cm. How many cm2 of material will we need when we 10% is waste?

Result

S =  934.492 cm2

#### Solution:

$D = 30 \ cm \ \\ v = 10 \ cm \ \\ \ \\ r = D/2 = 30/2 = 15 \ cm \ \\ q = 1 + \dfrac{ 10 }{ 100 } = \dfrac{ 11 }{ 10 } = 1.1 \ \\ \ \\ s = \sqrt{ v^2 + r^2 } = \sqrt{ 10^2 + 15^2 } = 5 \ \sqrt{ 13 } \ cm \doteq 18.0278 \ cm \ \\ \ \\ S_{ 1 } = \pi \cdot \ r \cdot \ s = 3.1416 \cdot \ 15 \cdot \ 18.0278 \doteq 849.538 \ cm^2 \ \\ S = q \cdot \ S_{ 1 } = 1.1 \cdot \ 849.538 \doteq 934.4918 = 934.492 \ cm^2$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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