Expressions, Equations, and Relationships>Describing the Volume Formula of a Cylinder as V = Bh(TEKS.Math.8.6.A)
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Texas 8th Grade Math › Expressions, Equations, and Relationships>Describing the Volume Formula of a Cylinder as V = Bh(TEKS.Math.8.6.A)
A mailing tube has diameter 6 in and height 8 in. Using $V = \pi r^2 h$, what is the volume, rounded to the nearest tenth? Use $\pi \approx 3.14$.
169.6 in^3
72.0 in^3
904.3 in^3
226.1 in^3
Explanation
For a cylinder, $V = Bh$ where $B = \pi r^2$. The diameter is 6 in, so $r = 3$ in. Compute $B = \pi r^2 = 3.14 \times 3^2 = 3.14 \times 9 = 28.26$. Then $V = Bh = 28.26 \times 8 = 226.08 \approx 226.1$. The volume is 226.1 in^3.
A candle jar has diameter 6 cm and height 15 cm. Using $V = \pi r^2 h$, what is the volume, rounded to the nearest tenth? Use $\pi \approx 3.14$.
423.9 cm^3
1695.6 cm^3
135.0 cm^3
339.1 cm^3
Explanation
For a cylinder, $V = Bh$ where $B = \pi r^2$. The diameter is 6 cm, so $r = 3$ cm. Compute $B = \pi r^2 = 3.14 \times 3^2 = 3.14 \times 9 = 28.26$. Then $V = Bh = 28.26 \times 15 = 423.9$. The volume is 423.9 cm^3.
A paint can has diameter 6 cm and height 20 cm. Using $V = \pi r^2 h$, what is the volume, rounded to the nearest tenth? Use $\pi \approx 3.14$.
565.2 cm^3
2260.8 cm^3
180.0 cm^3
169.6 cm^3
Explanation
For a cylinder, $V = Bh$ where $B = \pi r^2$. The diameter is 6 cm, so $r = 3$ cm. Compute $B = \pi r^2 = 3.14 \times 3^2 = 3.14 \times 9 = 28.26$. Then $V = Bh = 28.26 \times 20 = 565.2$. The volume is 565.2 cm^3.