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
What will come in the place of question mark (?) in the given expression?
(63 - ?) ÷ 5 + √625 = 19 X (9 - 6)
- What will come in place of (?), in the given expression.
(4² + 6²) × 2 = ? What will come in the place of question mark (?) in the given expression?
(40/25) X 80 - ? = 45% of 300 - 5525.6% of 250 + √? = 119
1220 ÷ 61 ÷ 5 + 450 of 20% - 70 = √ ?
Simplify the expression:
(5x + 15) / (x² + 3x)
What will come in the place of question mark (?) in the given expression?Â
435 ÷ 29 X 792 ÷ 44 = √(? + 14) + 35 + 221 ÷ 17
...192.251 + 326.233 + 125.021 + 19.273 = ?
36% of 640 – 12.5% of 352 + 25% of 640 = ? – 48% of 432
Simplify the following expressions and choose the correct option.
18 * 15 - {3/5 of 250 + 72}