Full resolution (JPEG) - On this page / på denna sida - Mensuration - To find the area of the curved surface of a cone - To find the volume of a cone - To find the area of the curved surface of a frustum of a cone
<< prev. page << föreg. sida << >> nästa sida >> next page >>
Below is the raw OCR text
from the above scanned image.
Do you see an error? Proofread the page now!
Här nedan syns maskintolkade texten från faksimilbilden ovan.
Ser du något fel? Korrekturläs sidan nu!
This page has never been proofread. / Denna sida har aldrig korrekturlästs.
MENSURATION. 205
If the perpendicular height is known, the length of the slant
side or the slant height is found by adding the square of the per-
pendicular height to the square of the radius and extracting the
square root of the sum.
Formula:
d tt s/ r2 4- h%
,
Curved area = x = 1 = r* a^ r2
+ & 2
r = Radius of base.
d = Diameter of base.
h = Perpendicular height.
To Find the Volume of a Cone.
Rule.
Multiply the area of the base by the perpendicular height,
and divide the product by 3.
By formula
:
Volume = **"*
To Find the Area of the Curved Surface of a Frustum
of a Cone.
(See Fig. 11).
Rule.
Add circumference of small end to
circumference of large end, multi-
ply this sum by the slant height and
divide the product by 2.
Formula :
c
Curved area = (2 R tc -f- 2 r tt)
A
which reduces to
Curved area = {R -f- r) it S
If the perpendicular height instead of
the slant height is known, we have
:
Curved area = (R -f- r) tt
\/ (j?
R = Large radius.
r = Small radius.
Ficb tl.
/
1
l/l k
Frustum of a Coae.
rf + h*
h = Perpendicular height.
s = Slant height.
<< prev. page << föreg. sida << >> nästa sida >> next page >>
