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PLS HELP ASAP! WILL GIVE BRAINLIEST

What is the total area of this cylinder?

A) 1010.08 sq ft

B) 1011.08 sq ft

C) 1011.16 sq ft

D) 1012.08 sq ft

PLS HELP ASAP WILL GIVE BRAINLIEST What is the total area of this cylinder A 101008 sq ft B 101108 sq ft C 101116 sq ft D 101208 sq ft class=

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Answer:

B.  1,011.08

Step-by-step explanation:

The formula for surface are of a cylinder is

SA = 2πr² + 2πrh      where r is the radius of the base, and h is the height

We are given r = 7 and h = 16, plug those values in and evaluate

SA = 2π(7²) + 2π(7)(16)

 SA = 98π + 224π

    SA = 322π

**I'm assuming they are saying to use 3.14 as an approximation for π, so we have..

  SA = 322(3.14) = 1,011.08    

mathstudent55

Answer:

[tex] B)~1011.08~ft^2 [/tex]

Step-by-step explanation:

The total surface area of a cylinder is the sum of the areas of the bases and the lateral area. The bases are congruent circles. The lateral surface is a rectangle that has as dimensions the circumference of the base and the height of the cylinder.

The problem does not state what to use for pi, so I will use pi = 3.14.

[tex] surface~ area~ of~ cylinder = 2 \pi r^2 + 2 \pi r h [/tex]

[tex] SA_{cylinder} = 2 \pi r(r + h) [/tex]

[tex] SA_{cylinder} = 2 (3.14)(7~ft)(7~ft + 16~ft) [/tex]

[tex] SA_{cylinder} = (43.96~ft)(23~ft) [/tex]

[tex] SA_{cylinder} = 1011.08~ft^2 [/tex]

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