Question

unit 1 online homework score: 56/100 answered: 17/29 question 23 volume of a cylinder the volume of a cylinder with radius r and height h is given by the formula v = πr²h. find the volume of a cylinder with radius 22 cm and height 28 cm. cm³ use 3.14 or the π key on your calculator. round your answer to the nearest tenth if necessary. question help: video

Explanation:

Step1: Substitute values into formula

Substitute $r = 22$ and $h=28$ into $V=\pi r^{2}h$. So $V=\pi\times(22)^{2}\times28$.

Step2: Calculate $(22)^{2}$

$(22)^{2}=22\times22 = 484$. Then $V=\pi\times484\times28$.

Step3: Multiply 484 and 28

$484\times28 = 13552$. So $V = 13552\pi$.

Step4: Use $\pi\approx3.14$

$V\approx13552\times3.14=42553.28$.

Step5: Round to nearest tenth

$V\approx42553.3$.

Answer:

$42553.3$