A COMPLETE PPT ON FRUSTUM WITH -
BASIC INFORMATION ABOUT FRUSTUM
SURFACE AREA OF FRUSTUM
VOLUME OF FRUSTUM
SMALL INFORMATION ON VOLUME OF FRUSTUM
FRUSTUM IN DAILY LIFE.
QUESTION BASED ON FRUSTUM.
3. CONTENTS
FRUSTUM
BASIC INFORMATION ABOUT
FRUSTUM
SURFACE AREA OF FRUSTUM
VOLUME OF FRUSTUM
SMALL INFORMATION ON
VOLUME OF FRUSTUM
FRUSTUM IN DAILY LIFE.
QUESTION BASED ON FRUSTUM.
6. BASIC INFORMATION ABOUT FRUSTUM.
• In geometry, a frustum (plural: frusta or frustums) is
the portion of a solid (normally a cone or pyramid)
that lies between two parallel planes cutting it. A
right frustum is a parallel truncation of a right
pyramid.
7. SURFACE AREA OF FRUSTUM
TOTAL SURFACE AREA OF A FRUSTUM:
П(R+R)L + ПR 2 + ПR 2
=П(R+R)L + П(R 2+ R2)
CURVED SURFACE AREA OF A FRUSTUM:
П(R+R)L
9. A FRUSTUM MAY BE FORMED FROM A RIGHT CIRCULAR
CONE BY CUTTING OFF THE TIP OF THE CONE WITH A CUT
PERPENDICULAR TO THE HEIGHT, FORMING A LOWER BASE
AND AN UPPER BASE THAT ARE CIRCULAR AND
PARALLEL. CONSIDER THE RIGHT CIRCULAR CONE.
LET H BE THE HEIGHT, R THE RADIUS OF THE LOWER BASE,
AND R THE RADIUS OF THE UPPER BASE. ONE PICTURE OF
THE FRUSTUM IS THE FOLLOWING.
GIVEN R, R, AND H, THE VOLUME OF THE FRUSTUM WILL BE-
1/3 ПH(R 2+R 2+RR)
10. FRUSTUM IN DAILY LIFE.
• CUP OF COLD DRINKS.
• POPCORN CARRIER.
• PYRAMIDS.
• BUCKET
• FOOD BOWL
11. QUESTION BASED ON FRUSTUM.
• Question 1:
A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters
of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass.
• ANSWER- Capacity of glass = Volume of frustum of cone
•
• Therefore, the capacity of the glass is.
•