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?
Let the radius of the inner cylinder be r and the radius of the outer cylinder be R. 2r = R In this figure, the amount of water that will flow will be equal to the volume of the inner cylinder. The volume of cylinder = πr2h 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 = πR2h-πr²h V = πh (R2 -r2 ) V = 22/7 ×1×(16-4) V = 22/7 ×1×12 V = 37.7 m³
456 x 99.999 + 654 = ?
10.992 + (5.01 × 7.98) + ? = 361.03
(14.66)2 + (343.84 ÷ 3.88 - 55.87) = ? + 91.23
49.97% of 2016 – 37.99% of 1050 = ? – 47.98% of 5950
? = 44.78% of 839.91 – 48.12% of 774.89 + 55.77% of 1024.85
3.55% of 8120 – 66.66% of 540 = ? – 28% of 5500
? = 540.24 + 1022.97 – 11.992
9.95% of 1299.99 + 19.95 × 17.05 - 299.99 = ?