Question
A spherical metallic shell with 6 cm external radius
weighs 6688 g. What is the thickness of the shell if the density of metal is 10.5 g per cm3? (Take π = 22/7)Solution
⇒ Volume = (6688/10.5) Now, ⇒ (6688/10.5) = (4/3) × (22/7) × (6 - r ) ⇒ (63 - r3) = (6688 × 3 × 7)/(22 × 4 × 10.5) ⇒ (63 - r3 ) = 152 ⇒ 216 - r3 = 152 ⇒ r3 = 216 - 152 ⇒ r3 = 64 ⇒ r = ∛64 ⇒ r = 4 Now, ⇒ Thickness = 6 - 4 = 2 cm ∴ Thickness of the shell 2 cm
What will come in place of the question mark (?) in the following series?
4, 2605, 5309, 8118, ?
117, 117, 121, 129, 141, ?
- What will come in place of the question mark (?) in the following series?
32, 45, ?, 137, 216, 317 10296/72 + 3040 = (? × 4) + 1395
38, 41, 50, ?, 158, 401Â
18, 35, 68, 117, ?, 263Â
What will come in place of the question mark (?) in the following series?
10, 135, ?, 226, 234, 235
- 741, 852, 1074, 1407, ?
9    14    38    129    ?   2705   16260
...What will come in place of the question mark (?) in the following number series?
21, 42, 67, 96, ?, 166