Answers and Step-by-step explanations:
The area of a circle is denoted by: [tex]A=\pi r^2[/tex], where r is the radius.
1.
(a) Here, the radius is r = 2, so: [tex]A=\pi r^2=\pi *2^2=4\pi[/tex] ≈ 12.57 cm squared
(b) Here, the radius is r = 6, so: [tex]A=\pi r^2=\pi *6^2=36\pi[/tex] ≈ 113.10 cm squared
(c) Here, the radius is r = 8, so: [tex]A=\pi r^2=\pi *8^2=64\pi[/tex] ≈ 201.06 cm squared
The volume of a cylinder is denoted by: [tex]V=\pi r^2h[/tex], where r is the radius and h is the height.
2.
(a) Here the radius is r = 4 and the height is h = 8, so: [tex]V=\pi r^2h=\pi *4^2*8=128\pi[/tex] ≈ 402.12 cm cubed
(b) Here, the diameter is 10, so since the radius is half of the diameter, the radius is r = 5 and the height is h = 14, so: [tex]V=\pi r^2h=\pi *5^2*14=350\pi[/tex] ≈ 1099.56 cm cubed.
Hope this helps!
