Jawaban:
Volume Bola = VB = 20π
[tex]VB = \frac{4}{3} \pi r {}^{3} \\ 20\pi = \frac{4}{3} \pi r {}^{3} \\ 20 = \frac{4}{3} {r}^{3} \\ 60 = 4 {r}^{3} \\ r = \sqrt[3]{ \frac{60}{4} } \\ r = \sqrt[3]{15} [/tex]
[tex]r = 2r = 2( \sqrt[3]{15} ) \: cm[/tex]
[tex]VB = \frac{4}{3} {\pi \: r}^{3} \\ VB = \frac{4}{3} .\pi.(2 \sqrt[3]{15} ) {}^{3} \\ VB = \frac{4}{3} .\pi. {2}^{3} .( \sqrt[3]{15} ) {}^{3} \\ VB = \frac{4}{3} .\pi.8.15 \\ VB = 32\pi.5 \\ VB = 160\pi \: cm {}^{3} [/tex]
C. 80π
Penjelasan dengan langkah-langkah:
Volume bola baru
= Volume bola lama × 4
= 20π × 4
= 80π
jari-jari × 2 = volume × 4
diameter × 2 = volume × 4
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Jawaban:
Volume Bola = VB = 20π
[tex]VB = \frac{4}{3} \pi r {}^{3} \\ 20\pi = \frac{4}{3} \pi r {}^{3} \\ 20 = \frac{4}{3} {r}^{3} \\ 60 = 4 {r}^{3} \\ r = \sqrt[3]{ \frac{60}{4} } \\ r = \sqrt[3]{15} [/tex]
[tex]r = 2r = 2( \sqrt[3]{15} ) \: cm[/tex]
[tex]VB = \frac{4}{3} {\pi \: r}^{3} \\ VB = \frac{4}{3} .\pi.(2 \sqrt[3]{15} ) {}^{3} \\ VB = \frac{4}{3} .\pi. {2}^{3} .( \sqrt[3]{15} ) {}^{3} \\ VB = \frac{4}{3} .\pi.8.15 \\ VB = 32\pi.5 \\ VB = 160\pi \: cm {}^{3} [/tex]
Jawaban:
C. 80π
Penjelasan dengan langkah-langkah:
Volume bola baru
= Volume bola lama × 4
= 20π × 4
= 80π
jari-jari × 2 = volume × 4
diameter × 2 = volume × 4