Question
The volume of a right circular cone is given as 1232
cm³, and its base area measures 154 cm². Determine the slant height of the cone.Solution
Volume of cone = Area of base X height ÷ 3 So, height of the cone = 1232 ÷ 154 X 3 = 24 cm Area of the base = πr2 (Where 'r' is the radius) 154 = (22/7) X r X r Or, r2 = 49 So, r = 7 (As radius cannot be negative) Slant height of cone = √(radius2 + height2) So, slant height = √(72 + 242) = √(49 + 576) = 25 cm
Which of the given trigonometric identities is incorrect ?
1. tan2 θ = sec2 θ - 1B. cosec2 θ = 1 + cot
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exactvalue.)
? + 157.99 – 101.01 = 25.01 × 5.98
8.15 of 124.95 ÷ 40.13 + 249.84 X 14.18 - √325 X 149.87 = ? X 10.85
(1440.13 ÷ 31.77) × (√168.69 + 16) - (24.87% of 719.99) = ?
499.98% of (√440.8 + 12.922 ) - 12.02 of 4.82 = ? of 9.82 + 9.98% of 999.94
(363.89% of 224.98 – 319.86% of 134.94) ÷ ? = √(134.88 ÷ 15.25)
16.22 × 12.99 + 142.15 = ?
(98.999)2 - (9.9)2 - (14.9)2 = ?
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
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