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CAT 2025 Geometry & Mensuration — Previous Year Question

Year

CAT 2025

Section

Quantitative

Topic

Geometry & Mensuration

Difficulty

Medium

Question

Slot-1

A solid trophy, consisting of two parts, has been designed in the following manner: the bottom part is a frustum of a cone with the bottom radius 30 cm, the top radius 20 cm, and height 40 cm, while the top part is a hemisphere with radius 20 cm. Moreover, the flat surface of the hemisphere is the same as the top surface of the frustum. If the entire trophy is to be gold-plated at the cost of Rs. 40 per square cm, what would the cost for gold-plating be closest to?

Rs. 3,60,000

Rs. 3,72,000

Rs. 1,12,000

Rs. 5,23,000

Rs. 4,73,000

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