Download App

Volume and Surface Area — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsVolume and Surface Area3 Marks
Question
From a solid right circular cylinder with height $10\ cm$ and radius of the base $6\ cm$, a right circular cone of the same height and base is removed. Find the volume of the remaining solid. $\big(\text{Take}\ \pi=3.14\big).$
✓

Answer

Here, height $(h) = 10cm$ and radius $= 6cm$
$\therefore$ Volume of the remaining solid
$=(\pi\text{r}^2\text{h})-\Big(\frac{1}{3}\pi\text{r}^2\text{h}\Big)$
$=\big(\pi\times6\times6\times10\big)\text{cm}^3$
$-\Big(\frac{1}{3}\pi\times6\times6\times10\Big)\text{cm}^3$
$=\frac{2}{3}\pi\times6\times6\times10\text{cm}^3$
$=\Big(\frac{2}{3}\times3.14\times360\Big)\text{cm}^3=753.6\text{cm}^3$
$\therefore$ Volume of the remaining solid $753.6cm^3.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Marks Question" from Volume and Surface Area→Volume and Surface Area — all question types→Maths STD 9 question papers→Gujarat Board STD 9 question papers→Gujarat Board question paper generator→

Similar questions

Factorise: $2(x + y)^2 - 9(x + y) - 5$
→
Express the following in the form $\frac{\text{p}}{\text{q}},$ where p and q are integers and $\text{q}\neq0: .00323232...$
→
If the radii of two cylinder are in the ratio $2 : 3$ and their heights are in the ratio $5 : 3$, then find the ratio of their volumes.
→
A school provides milk to the students daily in a cylindrical glasses of diameter $7\ cm$. If the glass is filled with milk upto an height of $12\ cm$, find how many litres of milk is needed to serve $1600$ students.
→
Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of the hemisphere?
→
Find the following products: 
$(3 x-4 y+5 z)\left(9 x^2+16 y^2+25 z^2+12 x y-15 z x+20 y z\right)$
→
Two chords $AB$ and $AC$ of a circle subtends angles equal to $90^\circ $ and $150^\circ $, respectively at the centre. Find $\angle\text{BAC},$ if $AB$ and $AC$ lie on the opposite sides of the centre.
→
Find the median of the data: $25, 34, 31, 23, 22, 26, 35, 29, 20, 32$
→
If two straight lines intersect each other, then prove that the ray opposite the bisector of one of the angles so formed bisects the vertically-opposite angle.
→
Factorise: $(2 x-3 y)^3+(3 y-4 z)^3+(4 z-2 x)^3$
→