Question

. Find the slant height and vertical height of a Cone with radius 5.6 cm and curved
surface area 158.4 cm2
​

Answer 1

Answer:

9, 7.08

Step-by-step explanation:

CSA = 158.4

slant height = √(r^2 + h^2)

22/7 *5.6*√[(5.6)^2+h^2)] = 158.4

√(30.8 + h^2) = 158.4/17.6

√(30.8 + h^2) = 9

30.8 + h^2 = (9)^2

h^2 = 81-30.8 = 50.2 => h = 7.08

slant height = √(30.8 + 50.2)

= √81 = 9 cm