Bola

Volume bola = \(\frac{4}{3}\pi r^3\)

Volume bola = \(\frac{4}{3}\cdot\frac{22}{7}\cdot 21^3\)

Volume bola = \(\frac{88}{\cancel{21}}\cdot \cancel{21} \cdot 21 \cdot 21\)

Volume bola = \(38808 \text{ cm}^3\)

Luas permukaan bola = \(4\pi r^2\)

Luas permukaan bola = \(4\cdot\frac{22}{7}\cdot 21^2\)

Luas permukaan bola = 5544 cm²

Luas permukaan bola = \(4\pi r^2\)

\(616 = 4\cdot\frac{22}{7}\cdot r^2\)

\(616 = \frac{88}{7}\cdot r^2\)

\(616 \times \frac{7}{88} = r^2\)

\(49 = r^2\)

\(r = \sqrt{49} = 7 \text{ cm}\)

Volume bola = \(\frac{4}{3}\pi r^3\)

Volume bola = \(\frac{4}{3}\cdot\frac{22}{7}\cdot 7^3\)

Volume bola = \(\frac{4}{3}\cdot\frac{22}{\cancel{7}}\cdot \cancel{7} \cdot 7 \cdot 7\)

Volume bola = \(\frac{4312}{3} = 1437,33 \text{ cm}^3\)

Volume setengah bola pejal = \(\frac{1}{2}\cdot \frac{4}{3}\pi r^3\)

Volume setengah bola pejal = \(\frac{1}{2}\cdot \frac{4}{3}\cdot\frac{22}{7}\cdot 12^3\)

Volume setengah bola pejal = \(\frac{25344}{7} = 3620,57 \text{ cm}^3\)

Luas permukaan setengah bola pejal = \(\frac{1}{2} \cdot 4\pi r^2 + \pi r^2\)

Luas permukaan setengah bola pejal = \(2\pi r^2 + \pi r^2\) = \(3\pi r^2\)

Luas permukaan setengah bola pejal =  \(3\cdot\frac{22}{7} \cdot 12^2\)

Luas permukaan setengah bola pejal =  \(\frac{9504}{7} = 1357.71 \text{ cm}^2\)

Volume \(\frac{3}{4}\)  bola pejal = \(\frac{3}{4}\cdot \frac{4}{3}\pi r^3\)

Volume \(\frac{3}{4}\)  bola pejal = \(\pi r^3\)

Volume \(\frac{3}{4}\)  bola pejal = \(\frac{22}{7} \cdot 14^3\)

Volume \(\frac{3}{4}\)  bola pejal = \(\frac{22}{7} \cdot 14 \cdot 14 \cdot 14\)

Volume \(\frac{3}{4}\)  bola pejal = \(8624 \text { cm}^3\)

Luas permukaan \(\frac{3}{4}\) bola pejal = \(\frac{3}{4} \cdot 4\pi r^2 + \pi r^2\)

Luas permukaan \(\frac{3}{4}\) bola pejal = \(3\pi r^2 + \pi r^2\) = \(4\pi r^2\)

Luas permukaan \(\frac{3}{4}\) bola pejal =  \(4\cdot\frac{22}{7} \cdot 14^2\)

Luas permukaan \(\frac{3}{4}\) bola pejal =  \(2464 \text{ cm}^2\)