The radius and height of a cylinder are in the ratio 7:2.If the volume of the cylinder is 8316 cubic centimeters find the total surface area of the cylinder

the total surface area of the cylinder is 3572 cm²

Step-by-step explanation:

If the radius and height of a cylinder are in the ratio 7:2, it means that

r/h = 7/2 = 3.5

r = 3.5h

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Volume = 8316

Height = h

Radius = 3.5h

Therefore,

8316 = 3.14 × (3.5h)² × h

8316 = 38.465h³

h³ = 8316/38.465 = 216.197

Taking cube root of both sides of the equation, it becomes

h = 6.009

r = 3.5 × 6.009

r = 21.0315 cm

The formula for determining the total surface area of a cylinder is expressed as

2πr² + 2πrh

Total surface area = (2 × 3.14 × 21.0315²) + (2 × 3.14 × 21.0315 × 6.009)

= 2778 + 794

= 3572 cm²

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

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