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Four identical cones with base diameter of 10 cm are compactly placed inside a box in upright position. What will be the area of square (in cm²) forme
Question

Four identical cones with base diameter of 10 cm are compactly placed inside a box in upright position. What will be the area of square (in cm²) formed by connecting tips of the cones?

A.

400

B.

144

C.

100

D.

25

Correct option is C

Given:
4 identical cones placed compactly inside a box in upright position
Base diameter of each cone = 10 cm
We are to find the area of square formed by joining the tips of the cones.
Concept:
Area of a square with side a units = a2 unit2.
Solution:
Given 4 identical cones with base diameter of 10 cm compactly placed in a box.

Figure shows cone placed in a compact way so that there tip touch each other.
The cross section forms a square with side length 10 cm.
∴ Area of the square = 10 × 10 = 100 cm2.
Required area of the square formed is 100 cm2.

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