Question
Area of a rectangle is equal to the total surface area
of a hemisphere having volume 8192 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 = 8192 r3 = 4096 r = 16 So, the total surface area of the hemisphere = 3 × π × 16² = 3 × 3 × 16² = 2304 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 = 2304 x² = 1024 x = 32 So the breadth of the rectangle = 32 cm Length of the rectangle = 32 × 2.25 = 72 cm So the perimeter of the rectangle = 2 × (72 + 32) = 208 cm
(160 × 12 - 13 × 20)/(120 × 2 + 2 × 35 + 2 × 11) = ?
What will come in the place of question mark (?) in the given expression?
(308 – 154) ÷ 11 = ? ÷ 15
- Simplify the expression:
30% of [140% of (50 + 30) + 110] ÷ 70 × 100 4387897 – 3286871 – 51926 = ?
? ÷ 8 = 2048 ÷ 64
30% of 750 + ?% of 400 = 25% of 1016 + 3
- What will come in place of (?) in the given expression.
(18.5 × 2) + (3.5 × 4) = ? 414 ÷ 23 × 38 – 154 + 264 = ?
...What will come in the place of question mark (?) in the given expression?
{180 + (2250/15)} ÷ 11 = ?2 + 14
The value of 15 × 14 – 30 + (32 + 17) is:
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