Question
A meter-long pipe is made whose internal diameter is
equal to the outer radius. How much material (cubic units) will be required to make the pipe if it holds 88/7m³?Solution
Let the radius of the inner cylinder be r and the radius of the outer cylinder be R. 2r = RÂ In this figure, the amount of water that will flow will be equal to the volume of the inner cylinder.
The volume of cylinder = Ï€r2h 88/7 = 22/7 ×1× r2 r = 2 , then R = 4 Materials used to make pipe (volume) = volume of outer cylinder - volume of the inner cylinder = Ï€R2h-Ï€r²h V = Ï€h (R2 -r2 ) V = 22/7 ×1×(16-4) V = 22/7 ×1×12 V = 37.7 m³Â
41.66% of 888 + 66.66% of 1176 = ?2 - 4√ 16 Â
Evaluate: 320 − {18 + 4 × (21 − 9)}
Simplify: 72 ÷ 6 × 3 − 8 + 4
118 × 6 + 13 + 83 = ?
Simplify the following expression:
  (400 +175) ² - (400 – 175) ² / (400 × 175)
150% of 850 ÷ 25 – 25 = ?% of (39312 ÷ 1512)
(75 + 0.25 × 10) × 4 = ?2 - 14
26% of 650 + 15% of 660 – 26% of 450 = ?
115% of 40 + 3 × 4 = ? × 11 – 8