Question

A cone of marimum size is worved out from
a cube of edge 14 cm, find the surface core.
of cone and of the remadning solid teft out
after cone curved out.
com​

Answer 1

Step-by-step explanation:

Solution :-

Since, a cone of maximum size is a curved out from a cube

So, radius of cone, r = 14/2 = 7 cm

And height of cone, h = 14 cm

Slant height of cone = √7² + 14² = √245 = 7 √5 cm

Surface area of remaining solid = 6l² - πr² + πrl

Surface area of remaining solid = 6 × 14 × 14 - 22/7 × 7 × 7 + 22/7 × 7 × 7√5

Surface area of remaining solid = 1176 - 154 + 154 √ 5

Surface area of remaining solid = (1022 + 154 √5) cm²

Hence, the remaining solid left out after the carved out is  (1022 + 154 √5) cm²

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