Question

Find the height of a cylinder with radius 2.5 cm and surface area 88.59 cm2.
A. 10.0 cm
B. 5.0 cm
C. 6.28 cm
D. 3.14 cm

Answer 1

if u mean all th surface (lateral + the two bases top and low) so its like this:

surface of one base -Sb-; \[Sb=3.14 \times 2.5^{2} = 9.625\] => Sb X 2 = 39.25...
2 Sb - All surface = 49.34 cm2 (this is the lateral surface -Sl-) .............(I)

Now we have the Base length -Lb-: \[2.5 \times 2 \times 3.14 = 15.7\] .................(II)
LE HIGH IS=> LATERAL SURFACE (I) ON BASE LENGTH (II) : ((H = Sl/Lb = 3.14 cm))

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the true one is : .................. D. 3.14 cm

Answer 2

Alright so whats the equation to find this one? @MekkiSimo