1.
An insect want to climb to the top of a cylindrical pole of height 66 cm and diameter 14 cm. If it
takes exactly 2 spirals to reach exactly at the top of the point from where it started, what will be the
22
minimum distance travelled by the insect? (Use r= )
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Minimum distance traveled by the insect = 110 cm if insect recahes at top of pole with 14 cm Diameter & 66 cm height in 2 spirals
Step-by-step explanation:
cylindrical Pole of Diameter = 14 cm
=> Radius = 7 cm
=> circumference of Cylindrical Pole = 2 π R
π = 22/7 , R = 7 cm
=> circumference of Cylindrical Pole = 2 * (22/7) * 7
= 44 cm
Height = 66 cm
Took 2 Spirals => Height of Each Spiral = 66/2 = 33 cm
Distance traveled by insect = 2 * √( (circumference)² + ( Height/2)²)
= 2 * √( ( 44)² + 33²)
= 2 * 11 √16 + 9
= 2 * 11 √25
= 2 * 11 * 5
= 110 cm
Minimum distance traveled by the insect = 110 cm
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