The volume of a similar balloon with radius 14.0 cm can be estimated by using the proportional relationship between the volumes of spheres and the ratio of their radii cubed.
Let V1 be the volume of the smaller balloon with radius 3.5 cm and V2 be the volume of the larger balloon with radius 14.0 cm.
The ratio of their radii is:
\( \frac{14.0}{3.5} = 4 \)
Therefore, the volume of the larger balloon can be estimated by:
\( V2 = 4^3 \times V1 = 64 \times 180 = 11520 \, cm^3 \)
So, the estimated volume of the larger balloon with radius 14.0 cm is about 11520 cm cubed.
The volume of a spherical balloon with radius 3.5 cm is about 180 cmcubed. Estimate the volume of a similar balloon with radius 14.0 cm.
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Part 1
The larger balloon has a volume of about
enter your response here cmcubed.
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