MCQ
A solid metallic cylinder of base radius $3\ cm$ and height $5\ cm$ is melted to make n solid cones of height $1\ cm$ and base radius $1\ mm.$ The value of $n$ is:
- A$450$
- B$1350$
- C$4500$
- ✓$13500$
✓
Answer
Correct option: D.
$13500$
$n =$ number of cones $=\frac{\text{Volume}\ \text{of}\ \text{the}\ \text{cylinder}}{\text{Volume}\ \text{of}\ \text{one}\ \text{cone}}$
$=\frac{\pi(3)^2\times5}{\frac{1}{3}\pi\Big(\frac{1}{10}\Big)^2\times1}$
$=\frac{9\times5}{\frac{1}{3}\times\frac{1}{100}}$
$=\frac{45}{\frac{1}{300}}$
$=45\times300$
$=13500$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
PQRS is a cyclic quadrilateral such that PR is a diameter of the circle. If $\angle Q P R=67^{\circ}$ and $\angle S P R=72^{\circ}$, then $\angle Q R S=$
→Which of the following is a factor of $(x+y)^3-\left(x^3+y^3\right)?$
→A chord is at a distance of $8\ cm$ from the centre of a circle of radius $17\ cm.$ The length of the chord is:
→Write the correct answer in the following: In Fig. $BC$ is a diameter of the circle and $\angle\text{BAO}=60^\circ.$ Then $\angle\text{ADC}$ is equal to:
→In a parallelogram $ABCD$, if $\angle\text{DAB}=75^\circ$ and $\angle\text{DBC}=60^\circ,$ then $\angle\text{BDC}=$
→In Fig. if $l_1 \| l_2$ and $l_3 \| l_4$ what is y in terms of x?
→A cylindrical rod whose height is 8 times of its radius is melted and recast into spherical balls of same radius. The number of balls will be
Side $BC$ of $\triangle\text{ABC}$ has been produced to $D$ on left and to $E$ on right-hand side of $BC$ such that $\angle\text{ABD}=125^\circ$ and $\angle\text{ACE}=130^\circ.$ Then $\angle\text{A}=?$
→In the given figure, $O$ is the centre of a circle and chords $AC$ and $BD$ intersect at $E.$ If $\angle\text{AEB}=110^\circ$ and $\angle\text{CBE}=30^\circ,$ then $\angle\text{ADB}=?$
→To represent the more than type graphically, we plot the $...........$ on the $x-$axis.
→