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Probability

Question
CBSEENMA9003555
Wired Faculty App

Find the capacity in litres of a conical vessel with
(i)    radius 7 cm, slant height 25 cm

Solution

(i) r = 7 cm
l = 25 cm r2 + h2 = l2 ⇒ (7)2 + h2 = (25)2 ⇒    h2 = (25)2 – (7)2

rightwards double arrow          h2  = 625 - 49
rightwards double arrow          h2  = 576
rightwards double arrow          h =  square root of 576
rightwards double arrow          h = 24 cm
therefore     Capacity = 1 third πr squared straight h
      equals 1 third cross times 22 over 7 cross times left parenthesis 7 right parenthesis squared cross times 24 equals space 1232 space cm cubed equals 1.232 italic space l 

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