Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

a cylinder has a base diameter of 8 feet and a height of 10 feet. what …

Question

a cylinder has a base diameter of 8 feet and a height of 10 feet. what is its volume in cubic feet, to the nearest tenths place? answer attempt 1 out of 5

Explanation:

Step1: Encontrar el radio del cilindro

El diámetro $d = 8$ pies, entonces el radio $r=\frac{d}{2}=\frac{8}{2}=4$ pies.

Step2: Aplicar la fórmula del volumen del cilindro

La fórmula del volumen de un cilindro es $V=\pi r^{2}h$. Sustituyendo $r = 4$ pies y $h = 10$ pies, tenemos $V=\pi\times(4)^{2}\times10=\pi\times16\times10 = 160\pi$ pies cúbicos.

Step3: Redondear el resultado

Tomando $\pi\approx3.14159$, entonces $V\approx160\times3.14159 = 502.6544$ pies cúbicos. Redondeando a la décima más cercana, $V\approx502.7$ pies cúbicos.

Answer:

$502.7$