MAH CET MCA Area And Volume Previous Year Questions (PYQs)
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Showing 3 questions
A block of 66 × 49 × 12 is melted to form a sphere. Then the radius of sphere is approx ______.
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Solution
Volume of block = volume of sphere
$66×49×12 = \dfrac{4}{3}\pi r^3$
Solving gives $r ≈ 21$.
If a rectangle has sides of length 8 cm and 12 cm, what is its area?
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Solution
A cone of base radius $1$ and height $15,m$ is melted to form a sphere of equal radius. Find radius nearer to:
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Solution
Volume of cone $= \dfrac{1}{3}\pi r^2 h = \dfrac{1}{3}\pi(1)^2(15)=5\pi$.
Let sphere radius $= R$, then $\dfrac{4}{3}\pi R^3 = 5\pi \Rightarrow R^3 = \dfrac{15}{4} \Rightarrow R \approx 0.5$.
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