Answer:
Answer in terms of π=144π m^3
Answer by replacing π with 3.14 is 452.16 approximately 452.2m^3
Answer to the nearest whole no. is 452m^3
Step-by-step explanation:
[tex]volume \: of \: a \: cone = \frac{1}{3} \pi {r}^{2} h[/tex]
[tex]radius = \frac{diametre}{2} [/tex]
[tex]radius = 24[/tex]
[tex]height = 18[/tex]
[tex]slant \: height \: = 30[/tex]
[tex]first \: step[/tex]
[tex]the \: exact \: volume \: of \: the \: cone \: in \: terms \: of \: \pi[/tex]
[tex]v = \frac{1}{3} \pi {r}^{2} h[/tex]
[tex] \: \: = \frac{1}{3} \times \pi \times 24 \times 18[/tex]
[tex] \: \: \: = \frac{432\pi}{3} [/tex]
[tex] \: \: \: = 144\pi[/tex]
[tex]second \: step[/tex]
[tex]approximate \: answer \: using \: 3.14 \: in \: place \: of \: \pi[/tex]
[tex]144 \times 3.14[/tex]
[tex] = 452.16[/tex]
[tex]approximately \: 452.2[/tex]
[tex]last \: step[/tex]
[tex]answer \: to \: the \: nearest \: whole \: number[/tex]
[tex]452 {m}^{3} [/tex]
