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Sagot :
Answer:
90π in²
Step-by-step explanation:
Surface area of cylinder:
r = 3 in
h = 10 in
[tex]\sf \boxed{\text{\bf Surface area of cylinder =$\pi r^2h$}}[/tex]
[tex]= \pi 3*3*10\\\\= 90 \pi \ in^2[/tex]
✭ Explanation -:
In this question it is given that the radius of a cylinder is 3 inches. The height of the cylinder is 10 inches. We are asked to calculate the surface area of the cylinder in terms of π .
Radius = 3 inches
Height = 10 inches
We know,
[tex] \star \: \small \boxed{\rm{ Surface \: area \: of \: a \: cylinder = πr²h}}[/tex]
Substituting the values we get
[tex] \small\sf{ Surface \: area \: of \: a \: cylinder = π × 3² × 10}[/tex]
[tex] \small\rm{ Surface \: area \: of \: a \: cylinder = π × 3 \times 3 × 10}[/tex]
[tex] \small\rm Surface \: area \: of \: a \: cylinder = π × 90[/tex]
[tex] \small\sf{ Surface \: area \: of \: a \: cylinder = \bf{90 π \: inches²}}[/tex]
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