a candle of diameter 2.8 cm is formed from a cuboid of dimensions 11 cm X 3.5 CM X 2.5 cm find the length of candle
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Answers
Step-by-step explanation:
vol. of the cuboid = 11 × 3.5 × 2.5
= 96.25cm³
radius of the candle = 2.8/2
= 1.4cm
vol of a cylinder(candle)= 2 ×22×r×r/7×l
= 2×22×1.4×1.4/7×l
=12.32×l
since,
vol of both are equal
12.32×l= 96.25
l = 96.25/ 12.32= 7.8125cm
Answer:
15.625
Step-by-step explanation:
Given that:
Dimensions of cuboid are,
11cm×3.5cm×2.5cm
Diameter of candle is: 2.8cm
Volume of cuboid=lbh
Replacing values l=11, b=3.5,h=2.5 in formula
Volume of cuboid= 11×3.5×2.5=96.25
- Volume of cylinder = pi× r square×h
=22/7×1.4×1.4×h=96.25
[since candle cast into cuboid but volume is same]
Volume of cylinder =volume of cuboid
22/7×1.4×1.4×h=11×3.5×2.5=96.25
6.16×h=96.25
H=96.25/6.16
H=15.625
[ therefore length of the candle is 15.625]