Question

the diameter of a cylindrical construction pipe is 6 ft. if the pipe is 30 ft long, what is its volume? use the value 3.14 for π, and round your answer to the nearest whole number. be sure to include the correct unit in your answer.

Explanation:

Step1: Encontrar el radio

El diámetro es 6 ft, así que el radio \( r = \frac{6}{2} = 3 \) ft.

Step2: Fórmula del volumen del cilindro

La fórmula del volumen de un cilindro es \( V = \pi r^2 h \), donde \( h = 30 \) ft, \( \pi = 3.14 \) y \( r = 3 \) ft.

Step3: Sustituir los valores

Sustituimos \( r = 3 \), \( h = 30 \) y \( \pi = 3.14 \) en la fórmula:
\( V = 3.14 \times 3^2 \times 30 \)
\( V = 3.14 \times 9 \times 30 \)
\( V = 28.26 \times 30 \)
\( V = 847.8 \)

Step4: Redondear

Redondeamos a la unidad entera más cercana: \( 848 \) cubic feet.

Answer:

848 cubic feet