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CAT 2008 | Question: 05

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Consider a right circular cone of base radius $4$ cm and height $10$ cm. A cylinder is to be placed inside the cone with one of the flat surfaces resting on the base of the cone. Find the largest possible total surface area (in sq cm) of the cylinder.

  1. $\frac{100 \pi}{3}$

  2. $\frac{80 \pi}{3}$

  3. $\frac{120 \pi}{7}$

  4. $\frac{130 \pi}{9}$

  5. $\frac{110 \pi}{7}$

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CAT 2008 | Question: 11
Let $f(x) = ax^2 + bx +c$, where $a, b$ and $c$ are certain constants and $a \neq 0$. It is known that $f(5) = -3 f(2)$ and that $3$ is a root of $f(x)=0$. What is the value of $a+b+c?$ $9$ $14$ $13$ $37$ cannot be determined
Let $f(x) = ax^2 + bx +c$, where $a, b$ and $c$ are certain constants and $a \neq 0$. It is known that $f(5) = -3 f(2)$ and that $3$ is a root of $f(x)=0$.What is the val...
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