Apakah warna kegemaran kamu? 2. Bagaimanakah warna tersebut mempengaruhi minda kamu? 3. Mengapakah kita digalakkan menanam pokok-pokok hijau?

Mathematics
Apakah warna kegemaran kamu? 2. Bagaimanakah warna tersebut mempengaruhi minda kamu? 3. Mengapakah kita digalakkan menanam pokok-pokok hijau?

ScanSolve AI Answer

1. Volume tabung (jari-jari 7 cm, tinggi 10 cm)

Step 1: Rumus volume tabung
V=πr2hV = \pi r^{2} h

Step 2: Substitusi nilai r=7r = 7 cm dan h=10h = 10 cm
V=π×(7)2×10 cm3V = \pi \times (7)^{2} \times 10~cm^{3}

Step 3: Hitung (7)2(7)^{2}
(7)2=49(7)^{2} = 49
V=π×49×10 cm3V = \pi \times 49 \times 10~cm^{3}

Step 4: Sederhanakan 49×1049 \times 10
49×10=49049 \times 10 = 490
V=490π cm3V = 490\pi~cm^{3}

490\pi \text{ cm^{3}}

2. Volume bola (jari-jari 5 cm)

Step 1: Rumus volume bola
V=43πr3V = \dfrac{4}{3} \pi r^{3}

Step 2: Substitusi nilai r=5r = 5 cm
V=43π×(5)3 cm3V = \dfrac{4}{3} \pi \times (5)^{3}~cm^{3}

Step 3: Hitung (5)3(5)^{3}
(5)3=125(5)^{3} = 125
V=43π×125 cm3V = \dfrac{4}{3} \pi \times 125~cm^{3}

Step 4: Sederhanakan 43×125\dfrac{4}{3} \times 125
43×125=5003\dfrac{4}{3} \times 125 = \dfrac{500}{3}
V=5003π cm3V = \dfrac{500}{3} \pi~cm^{3}

\dfrac{500{3}\pi cm^{3}}

3. Volume kerucut (jari-jari 6 cm, tinggi 12 cm)

Step 1: Rumus volume kerucut
V=13πr2hV = \dfrac{1}{3} \pi r^{2} h

Step 2: Substitusi nilai r=6r = 6 cm dan h=12h = 12 cm
V=13π×(6)2×12 cm3V = \dfrac{1}{3} \pi \times (6)^{2} \times 12~cm^{3}

Step 3: Hitung (6)2(6)^{2}
(6)2=36(6)^{2} = 36
V=13π×36×12 cm3V = \dfrac{1}{3} \pi \times 36 \times 12~cm^{3}

Step 4: Sederhanakan 36×1236 \times 12
36×12=43236 \times 12 = 432
V=13π×432 cm3V = \dfrac{1}{3} \pi \times 432~cm^{3}

Step 5: Sederhanakan 4323\dfrac{432}{3}
4323=144\dfrac{432}{3} = 144
V=144π cm3V = 144\pi~cm^{3}

144\pi \text{ cm^{3}}

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question