Question

Find the volume of a cylinder with a diameter of 16 mm and a height of 5.7 mm ?

Answer 1

The volume of the cylinder is calculated using the formula V = πr²h, with a conversion of the diameter (16 mm) to the radius (8 mm or 0.8 cm) before calculation. The volume computes to 11.46 cm³.

Step-by-step explanation:

To find the volume of a cylinder, we use the formula V = πr²h. However, we're given the diameter (Ø) of the cylinder which is 16 mm. To find the radius (r), we divide the diameter by 2, resulting in a radius of 8 mm or 0.8 cm. Applying the formula:

V = πr²h

V = 3.142 × (0.8 cm)² × 5.7 cm

The volume V is calculated as follows:

V = 3.142 × 0.64 cm² × 5.7 cm

V = 3.142 × 3.648 cm³

V = 11.46 cm³

Therefore, the volume of the cylinder is 11.46 cm³.

Answer 2

if the diameter is 16 mm, then the radius is half that, namely 8 mm, thus


`\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h\qquad \begin{cases} r=radius\\ h=height\\ -----\\ r=8\\ h=5.7 \end{cases}\implies V=\pi \cdot 8^2\cdot 5.7\implies V=364.8\pi`