Nita goes shopping

Geometry Level 3

Nita went shopping for vegetables at the New Market. She saw two pumpkins of the same quality but of different sizes. One was bigger than the other. The bigger one was 60 60 cm in circumference and the smaller one was 50 50 cm in circumference. The bigger one was one and a half times costlier than the other. Which one would have been a better buy for Nita?

The smaller pumpkin Answer cannot be determined Both ways it is the same The bigger pumpkin

Shreya R by Shreya R , 21, India

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2 solutions

Radha Krishnan B
May 27, 2014

Simplest solution. circumference(L)= Cr, where r is radius of pumpkin and C is constant. volume(V)=Dr^3, where D is another constant. So, V1/V2=(L1/L2)^3. find the ratio of volumes of the two pumpkins. this ratio is larger than the cost ratio. hence bigger pumpkin==better buy

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Is pumpkin sphere or circle

Sujay Sheth - 7 years ago
Roopesh H
Aug 14, 2014

The volume of the bigger pumpkin is more than 1.5 times the volume of the smaller pumpkin. Hence Nita will buy the bigger one.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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