A spherical balloon has a radius of 7.15 m and is filled with helium. The densit

Question

A spherical balloon has a radius of 7.15 m and is filled with helium. The density of helium is 0.179 kg/m^3, and the density of air is 1.29 kg/m^3. The skin and structure of the balloon has a mass of 910 kg. Neglect the buoyant force on the cargo volume itself.
Determine the largest mass of cargo the balloon can lift. A spherical balloon has a radius of 7.15 m and is filled with helium. The density of helium is 0.179 kg/m^3, and the density of air is 1.29 kg/m^3. The skin and structure of the balloon has a mass of 910 kg. Neglect the buoyant force on the cargo volume itself.
Determine the largest mass of cargo the balloon can lift.
Determine the largest mass of cargo the balloon can lift.

Explanation / Answer

Volume of ballon=(4/3)*pi*r3

                                =(4/3)*3.14*7.153

                                =1531.1 m3

Mass the ballon can carry=volume*[density of air-density of helium]

                                =1531.1*[1.29-0.179]

                                =1701 kg

Mass of cargo=1701-910=791 kg

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.