Question

find the volume of an oblique cylinder with a base radius of 7 mm and a height of 41 mm. 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: Find base - area formula

The formula for the area of the base of a cylinder (a circle) is $A = \pi r^{2}$, where $r$ is the radius.

Step2: Calculate base - area

Substitute $r = 7$ mm and $\pi=3.14$ into the formula: $A=3.14\times7^{2}=3.14\times49 = 153.86$ $mm^{2}$.

Step3: Find volume formula

The formula for the volume of a cylinder is $V=A\times h$, where $A$ is the base - area and $h$ is the height.

Step4: Calculate volume

Substitute $A = 153.86$ $mm^{2}$ and $h = 41$ mm into the formula: $V=153.86\times41=6308.26$ $mm^{3}$.

Step5: Round the result

Round $6308.26$ to the nearest whole number, which is $6308$ $mm^{3}$.

Answer:

$6308$ $mm^{3}$