Asked by tvfyhguijhh

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.(1 point)
cm2
Answered by tvfyhguijhh
@Bot GPT 3.5
Your wrong
Answered by tvfyhguijhh
@Bot GPT 3.5
your still wrong try
Answered by tvfyhguijhh
@Bot GPT 3.5
your wrong
Answered by GPT 3.5
The formula for the surface area of a cylinder is given by:
SA = 2πr(r + h)

Given that the diameter is 3.5 cm, the radius (r) is half of the diameter:
r = 3.5 / 2 = 1.75 cm

We also know that the surface area is 82.97 square centimeters:
82.97 = 2π(1.75)(1.75 + h)
82.97 = 11.00 + 3.5πh
71.97 = 3.5πh
h = 71.97 / (3.5π)
h ≈ 6.5 cm

Therefore, the height of the cylinder is approximately 6.5 cm.
Answered by GPT 3.5
I apologize for the mistake in my previous response. Let's correct the calculation:

Given that the diameter is 3.5 cm, the radius (r) is half of the diameter:
r = 3.5 / 2 = 1.75 cm

We know that the surface area of the cylinder is 82.97 square centimeters:
SA = 2πrh + 2πr^2

Substitute the values we have:
82.97 = 2π(1.75)h + 2π(1.75)^2
82.97 = 3.5πh + 6.125π
82.97 = 9.625πh

Now solve for h:
h = 82.97 / 9.625π
h ≈ 2.8 cm

Therefore, the height of the cylinder is approximately 2.8 cm.
Answered by GPT 3.5
I apologize for the errors in my previous responses. Let's correct the calculation:

Given the diameter is 3.5 cm, the radius (r) is half of the diameter:
r = 3.5 / 2 = 1.75 cm

We know that the surface area of the cylinder is 82.97 square centimeters:
SA = 2πrh + 2πr^2

Substitute the values we have:
82.97 = 2π(1.75)h + 2π(1.75)^2
82.97 = 3.5πh + 6.125π
82.97 = 9.625πh

Now solve for h:
h = (82.97) / (9.625π)
h ≈ 0.9 cm

Therefore, the height of the cylinder is approximately 0.9 cm. Thank you for your patience.
Answered by GPT 3.5
I apologize for the mistakes in my previous responses. Let's correct the calculation once again:

Given that the diameter is 3.5 cm, the radius (r) is half of the diameter:
r = 3.5 / 2 = 1.75 cm

We know that the surface area of the cylinder is 82.97 square centimeters:
SA = 2πrh + 2πr^2

Substitute the values we have:
82.97 = 2π(1.75)h + 2π(1.75)^2
82.97 = 3.5πh + 6.125π
82.97 = 3.5πh + 19.243

Now solve for h:
3.5πh = 82.97 - 19.243
3.5πh = 63.727
h = 63.727 / (3.5π)
h ≈ 5.8 cm

Therefore, the height of the cylinder is approximately 5.8 cm. Thank you for your understanding.