Question

find the volume of this object. use 3 for $pi$. volume of a cylinder v = $pi r^{2}h$ volume of a cone v = $\frac{pi r^{2}h}{3}$ 7cm 4cm 6cm v $approx$ ?$cm^{3}$

Explanation:

Step1: Find radius of shapes

The diameter is 4 cm, so the radius $r=\frac{4}{2}=2$ cm.

Step2: Calculate volume of cylinder

Using the formula $V_{cylinder}=\pi r^{2}h$, with $\pi = 3$, $r = 2$ cm and $h = 7$ cm. So $V_{cylinder}=3\times2^{2}\times7=3\times4\times7 = 84$ $cm^{3}$.

Step3: Calculate volume of cone

Using the formula $V_{cone}=\frac{\pi r^{2}h}{3}$, with $\pi = 3$, $r = 2$ cm and $h = 6$ cm. So $V_{cone}=\frac{3\times2^{2}\times6}{3}=3\times4\times2=24$ $cm^{3}$.

Step4: Calculate total volume

$V = V_{cylinder}+V_{cone}=84 + 24=108$ $cm^{3}$.

Answer:

108