Step-by-step explanation:
The lateral area is formula for a cylinder is
[tex]2\pi \times r \times h[/tex]
where r is radius and h is height.
[tex]2\pi \times 8 \times 3 = 48\pi[/tex]
The surface area of cylinder is
[tex]2\pi \times {r}^{2} + 2\pi \times r \times h[/tex]
[tex]2\pi(64) + 2\pi(24)[/tex]
[tex]128\pi + 48\pi[/tex]
[tex]176\pi[/tex]
Volume of cylinder is
[tex]\pi \times {r}^{2} \times h[/tex]
[tex]\pi \times 64 \times 3[/tex]
[tex]192\pi[/tex]
Answer:
Step-by-step explanation:
Lateral area is the sides so for this it's distance around x 3 . b/c the cylinder is 3 units tall... sooo
r= radius , d= diameter
circumference = distance around = 2[tex]\pi[/tex]r or d[tex]\pi[/tex] = 16[tex]\pi[/tex]
Lateral area is 16[tex]\pi[/tex]*3 = 48[tex]\pi[/tex]
Surface area is the lateral area + the top and bottom
the area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]
the area of this circle for the top is [tex]\pi[/tex][tex]8^{2}[/tex]
64[tex]\pi[/tex]
times 2 b/c there is also a top and a bottom
128[tex]\pi[/tex] + 48[tex]\pi[/tex] = 176[tex]\pi[/tex]
surface area is 176[tex]\pi[/tex] [tex]units^{2}[/tex]
Volume of a cylinder is area of the circle base times the height.
the base is 64[tex]\pi[/tex]
time 3 = 192[tex]\pi[/tex] [tex]units^{3}[/tex]
Volume is 603.1857 [tex]units^{3}[/tex]
note that two of the answer include pi, but you have that already put in for you in the answer so leave that part off.
