A cone of height 12 cm and diameter 10 cm is mounted on a hemisphere of the same diameter. What is the volume of the solid thus formed?
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If one of the zeros of the quadratic polynomial (k - 1)x2 + kx + 1 is -3 then the value of k = ?
Consider the circle shown below having angle AOB as 135 deg and the shaded portion is the x part of the circular region. Calculate the value of x.
If the angles of a triangle are in the ratio of 2 : 3 : 7, then find the ratio of the greatest angle to the smallest angle.
What is the value of (tan60 - 1/3) ?
A can do a work in 15 days and B in 20 days. If they work on it together for 6 days, then what fraction of work is left?
M borrowed some money for 1 year at certain simple interest. But the interest rate was increased to 2% which amounted to Rs.120. Find the principal amount.
What is the reflection of the point (5 , -1) in the line y = 2?