437,125 views
6 votes
6 votes
John made a cake that was 8 by 8 by 3 inches. He cut the cake into 6 equal pieces. What is the volume of each piece?

User Rohit Jadhav
by
2.4k points

1 Answer

21 votes
21 votes

Answer:

Area of the rectangles on either side of the wedge = 2×radius×height=2×18=36sqcm.

Explanation:

Area of the sector (top and bottom) = 2×

360

45

×π×6

2

=9πsqcm

Curved area of the cylinder =

8

2π×6×3

=

2

9

πsqcm.

Total area of each wedge =

2

9

π+9π+36=36+

2

27

π=

2

9

(3π+8)sqcm

User Ewerton
by
2.6k points
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