Malik bought his mom a candle in the shape of a cylinder for a birthday present. The surface area of the candle is 82.97 square centimeters and the diameter is 3.5 centimeters π and round to the nearest tenth.
To calculate the surface area of a cylinder, we use the formula:
Surface Area = 2πr^2 + 2πrh
Given:
- Diameter = 3.5 cm, so radius (r) = 3.5 cm / 2 = 1.75 cm
- Surface Area = 82.97 cm^2
- π is approximately 3.14159
Plugging in the values, we get:
82.97 = 2 * 3.14159 * 1.75^2 + 2 * 3.14159 * 1.75 * h
82.97 = 19.635 + 10.996 * h
82.97 = 30.631 + 10.996h
52.339 ≈ 10.996h
h ≈ 4.76
Therefore, the height of the candle is approximately 4.76 centimeters.
it says wrong sorry
I apologize for the mistake. Let's correct the calculation:
82.97 = 2 * 3.14159 * 1.75^2 + 2 * 3.14159 * 1.75 * h
82.97 = 19.635 + 10.99625 * h
63.335 = 10.99625 * h
h = 63.335 / 10.99625
h ≈ 5.76
Therefore, the height of the candle is approximately 5.76 centimeters.