Answer:
(a) Total height of cylinder is [tex]50\ cm[/tex]
(b) Total volume of trash can is [tex]79587.05\ cm^3[/tex]
Step-by-step explanation:
Given
Total height of can is [tex]70\ cm[/tex]
And the base radius of both the cylinder and the hemispherical top is [tex]20\ cm[/tex].
Let us say, [tex]r[/tex] is the radius of both the cylinder and the hemispherical top
And [tex]h[/tex] is the height of the cylinder.
Part (a)
We need to find total height of cylinder (h), that can be found by subtracting radius of hemispherical top from the total height of can.
So, height of cylinder [tex]=70-20=50\ cm[/tex]
[tex]h=50\ cm[/tex]
Part (b)
Now, we will find the total volume of trash can.
The total volume would be sum of volumes of cylinder and hemispherical top.
[tex]=\pi r^2h\ +\ \frac{2}{3}\pi r^3\\\\=\pi(20)^2\times 50\ +\ \frac{2}{3}\pi(20)^3\\\\=62831.85+16755.2\\\\=79587.05\ cm^3[/tex]
Answer:
a.) 50cm
b.) [tex]79588cm^2[/tex]
Step-by-step explanation:
a.) 70-50=20
