Question

Biasa ʕ •ₒ• ʔ
Hitunglah volume dan luas permukaan bola dengan diameter 32 cm!
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[tex] \\ [/tex]
- Kaiser •-•​

Answer 1

Verified answer

Bangun Ruang Sisi Lengkung

[Bola]

..

[tex]\boxed{ \begin{array}{lr} \boxed{\large{\sf{ LP= 4 \times π \times r²~} }} \\ \boxed{\large{\sf{~V ~ = \frac{4}{3} \times π \times r³ } }}\\ \boxed{\large{\sf{LT = 2 π \times r \times t \: }}} \\ \\ \sf{Keterangan \ \: :}\\ \begin{aligned} \sf{ LP} &= \sf{ Luas~Permukaan }\\ \sf{LT} &= \sf{Luas~Tembereng} \\ \sf{V} &= \sf{ Volume~Bola}\\ \sf{ π } &= \sf{Konstanta~Lingkaran }\\\sf{ r} &= \sf{ Jari-Jari~Bola} \\ \sf{t} &= \sf{Tinggi~Tembereng} \end{aligned} \end{array}}~~\begin{aligned}& \to~r=½d \\ &\to~π=\frac{22}{7}~Jika~r= Kelipatan~7 \\ &\to~π=3.14~Jika~r \ne Kelipatan~7 \end{aligned}[/tex]

Penyelesaian Soal

[tex]\begin{aligned} Volume &= 4/3 \times \pi \times r^3 \\&= 4/3 \times 3.14 \times (16~cm)^3 \\&= 4.18666.... \times 4096~cm^3 \\& \approx 4.1867 \times 4096~cm^3 \\& \approx \boxed{\bold{\underline{17148.7232~cm^3}}} \\ \\ Luas \: \: \: \: \: \: &= 4 \times pi \times r^2 \\&= 4 \times 3.14 \times (16~cm)^2 \\&= 12.56 \times 256~cm^2 \\&= \boxed{\bold{\underline{3215.36~cm^2}}} \end{aligned}[/tex]

[tex]\boxed{\colorbox{ccddff}{Answered by Danial Alf'at | 02 - 07 - 2023}}[/tex]