ppt on frustum
TRANSCRIPT
POWER POINT PRESENTATION ON SURFACE AREA AND VOLUME OF FRUSTUM.
NAME –MUDIT VINAYAK PANDEY
CLASS – 10th BROLL NO. – 27
SUBMITTED TO:MR. AP PATEL SIR.
AUTUMN BREAK HOLIDAY HOME WORK
FRUSTUM AND IT’S MENSURATION.
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.
FRUSTUM
FRUSTUM CONE RELATIONSHIP.
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.
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
VOLUME OF FRUSTUM
VOLUME OF A FRUSTUM:1/3 ПH(R 2+R 2+RR)
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)
FRUSTUM IN DAILY LIFE.
• CUP OF COLD DRINKS.
• POPCORN CARRIER.
• PYRAMIDS.
• BUCKET
• FOOD BOWL
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.