Question
Area of a rectangle is equal to the total surface area
of a hemisphere having volume 13718 cm³ . Find the perimeter of the rectangle if its length is 125% more than its breath. (Take π = 3)Solution
Let, the radius of the hemisphere be ‘r’ cm. So according to question: 2/3 × 3 × r3 = 13718 r3 = 6859 r = 19 So, the total surface area of the hemisphere = 3 × π × 19² = 3 × 3 × 19² = 3249 cm² Let the breadth of the rectangle be ‘x’ cm So the length of the rectangle = 2.25x cm According to question: x × 2.25x = 3249 x² = 1444 x = 38 So the breadth of the rectangle = 38 cm Length of the rectangle = 38 × 2.25 = 85.5 cm So the perimeter of the rectangle = 2 × (85.5 + 38) = 247 cm
What should come in place of (?) question mark in the given number series.
3, 8, 18, 38, 78, ?
What will come in place of the question mark (?) in the following series?
75, ?, 107, 148, 229, 390
32, 52, 82, 124, 180, ?
What will come in place of the question mark (?) in the following series?
4, 36, 31, 279, 275, 2475, ?
- What will come in place of (?) in the given number series.
7, 14, 28, 56, ?, 224 7.5% of 820.68 - 95% of 945.06 + 12.8% of 1050= ?
144, 288, 96, 384, 76.8, ?Â
98, 89, 114, 50, 194, ?
24    12    ?    24  96    768
12, 25, 51, ?, 207, 415Â
