Question
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Ariah has a hot air balloon. When full, the
balloon is a sphere with a radius of 9 meters.
She fills it with hot air whose density is 0.9
kilograms per cubic meter. Since this is less
dense than the air in the atmosphere, the
balloon is carried upwards.
What is the weight of the air that Ariah
needs to fill the balloon?
Round your answer, if necessary, to the
nearest integer.

Ask by Johnston Riley. in Thailand
Jan 22,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

น้ำหนักอากาศที่จำเป็นในการเติมลูกโป่งคือ 2,751 กิโลกรัม

Solution

น้ำหนักของอากาศที่อเรียห์ต้องใช้เติมเต็มลูกโป่งคือประมาณ 2 751 กิโลกรัม

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Bonus Knowledge

To find the weight of the air that Ariah needs to fill the balloon, we first calculate the volume of the balloon using the formula for the volume of a sphere:
Substituting the radius meters:
Next, we can find the weight of the air by multiplying the volume by the density:
Rounding to the nearest integer, the weight of the air that Ariah needs to fill the balloon is approximately 2748 kg.

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