Question
A wooden toy is in the form of a sphere with diameter 28
cm. Find the cost of polishing its surface at the rate of 50 paise per cm². (Take π = 22/7)Solution
Given: Diameter = 28 cm → Radius = 14 cm π = 22/7 Rate = ₹0.50 per cm² Formula: Surface area of sphere = 4 × π × r² Calculation: = 4 × (22/7) × 14 × 14 = 2464 cm² Cost: = 2464 × 0.50 = ₹1232
If x : y : z = 6 : 7 : 11, and (2x + 3z) = 180, then find the value of y.
For which value of k does the quadratic equation
x² − 4(k + 1)x + (3k² + 8k + 4) = 0
have equal real roots?
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(p + q) = 8 and (p2 + q2Â - 6) = 28. If p < q, then determine the value of (p/q).
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