Find the surface area and volume of each solid. Round each measure to the nearest tenth, if necessary.
Answers
Given : Different shapes of solids
To Find : surface area and volume of each solid
Solution:
Cone Diamter = 10 yd => radius r = 5 yd
h height = 12 yd
Slant height l = 13 ft
Volume = (1/3)πr²h = 100π cubic yard
Surface area = πr² + πrl = π ( 25 + 65) = 90π sq yard
Cuboid volume = 2 * 5 * 6 = 60 cubic inches
Surface area = 2 ( 2 * 5 + 2 * 6 + 5 * 6) = 104 sq inches
cylinder Volume = πr²h = π(6)² * 13 = 468 cubic inches
cylinder Surface area= 2πr(r + h ) = 12π(6 + 13) = 228 sq inches
Example 3 :
Volume = ( 1/2) * 2.4 * 3.2 * 2 = 7.68 cubic cm
Surface area = 2 ( 1/2) * 2.4 * 3.2 + ( 2.4 + 3.2 + 4) * 2
= 7.68 + 19.2
= 26.88 sq cm
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