Question
The total surface area of a solid right circular cone is
equal to that of a sphere of the same radius. The height of the cone is how many times the diameter of the sphere?Solution
According to the question, Ο(r + l)r = 4Οr^2 β (r + l) = 4r β l = 3r l^2 = H^2 + r^2 β 9r^2 = H^2 + r^2 β 8r^2 = H^2 β H = 2β2r Now, Diameter = 2r So, Height is 2β2r/2r = β2 times β΄ Required answer is β2
If '!' means ' - ', '#' means '+', '%' means 'Γ·' and '@' means ' X ', then what is the value of the following expression?
25 # 3 % 15 @ 35 ! 23
Rachit walks a distance of 5 Km towards North, then turns to his left and walks for 3 Km. He again turns left and walks for 5 Km. At this point he turns...
Select the correct sequence of mathematical signs to replace the β@β signs so as to balance the given equation.
264 @ 44 @ 17 @ 6 @ 32 = 76
If '+' means 'division', '-' means 'multiplication', 'Γ·' means 'addition' and ' X ' means 'subtraction', then what is the value of the following expres...
Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
48 * 495 * 5 * 2 * 120 = 126
If β+β means β-β, βΓβ means β+β, β-β means βΓ·β and βΓ·β means βΓβ, then what is the value of the following expression...
If ' + ' means ' Γ ', ' - ' means ' Γ· ', ' Γ ' means ' - ' and ' Γ· ' means ' + ' then 18 Γ 9 Γ· 3 + 8 - 4 = ?
...What will come in place of β?β in the given expression?
13 Γ 11 + 12Β² + 27 Γ (2/3) = ?
Which two signs should be interchanged to make the following equation correct?
52 β 27 Γ· 9 + 7 Γ 5 = 20
Which of the following interchange of numbers and mathematical signs would make the given equation correct?
72 Γ· 8 Γ 9 β 36 + 20 = 80
