Question

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Sebuah tumpeng memiliki diameter 28 cm dan tinggi 20 cm. jika tumpeng bagian atas dipotong sampai tinggi tersisa 10 cm. berapakah isi tumpeng yang tersisa??​

Answer 1

Verified answer

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[tex]\begin{aligned} sisa~tumpeng &=1/3 \times \pi \times (R^2 \times T - r^2 \times t) \\&= 1/3 \times 22/7 \times ((14~cm)^2 \times 20~cm - (7~cm)^2 \times 10~cm) \\&= 1/3 \times 22/7 \times (196~cm^2 \times 20~cm - 49~cm^2 \times 10~cm) \\&= 1/3\times 22/7 \times (3920~cm^3 - 490~cm^3) \\&= 1/3 \times 22/7 \times 3430~cm^3 \\&= 1/3 \times 10780~cm^3 \\& \approx \boxed{\bold{\underline{3593,34~cm^3}}} \end{aligned}[/tex]

[tex]\boxed{\colorbox{ccddff}{Answered by Danial Alf'at | 24 - 05 - 2023}}[/tex]