Question

The exact and approximate volume of the cone

Answer 1

• Exact volume = 3024 π cm³
• Appropriate Volume = 9495.36 cm³

Explanation:

• Radius of cone = 18 cm
• Height of cone = 28 cm

Volume of cone is calculated by,,

`{ \boxed{ \rm{volume = (1)/(3) \pi {r}^(2) h}}}`

Substituting the values,

`\longrightarrow \rm (1)/(3) \pi * 18 * 18 * 28 \\ \\ \longrightarrow \rm \frac{1}{{ \cancel{3}}} \pi * 18 * { \cancel{18}} * 28 \\ \\ \longrightarrow \rm6 * 18 * 28 \\ \\ \longrightarrow \rm3024 \pi \: {cm}^(3)`

Exact Volume of cone is 3024 π cm³ (in terms of π)

• Value of π = 3.14

Volume = 3024 × 3.14

Volume = 9495.36 cm³

Appropriate volume of the cone is 9495.36 cm³