The volume of a cylinder is 197.82 yards³ and the surface area of a cylinder is 188.4 yards².
Given a cylinder has a height of 7 yards and a radius of 3 yards.
(a) We first find the volume of the cylinder using the formula V=πr²h, where π=3.14, r=3 yards and h=7 yards.
Substitute the values in the formula and we get
V=π(3)²×7
V=3.14×9×7
V = 197.82 yards³
(b) We will now find the surface area of the cylinder using the formula S=2πr²+2πrh, where π=3.14, r=3 yards and h=7 yards.
Substitute the values in the formula, we get
S=2π(3)²+2π×3×7
S=2×3.14×9+2×3.14×21
S=56.52+131.88
S = 188.4 square yards
Therefore, the volume and area of a cylinder with a height of 7 meters and a radius of 3 meters is 197.82yards³ and 188.4 yards².
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