Answer: height = 13.9 cm
Step-by-step explanation:
The base area of a cone is the area of a circle. Given that base area = 98.56 cm^2
Base area = πr^2
Substitutes the value into the formula
98.56 = 22/7 × r^2
Cross multiply
689.92 = 22r^2
r^2 = 689.92/22
r = sqrt ( 31.36 )
r = 5.6 cm
Also, the curved surface area of a cone is πrL
Where the given value is 264 cm^2
Substitutes the value into the formula
264 = 22/7 × 5.6 × L
Where L = slant height
Cross multiply
123.2L = 1848
L = 1848 /123.2
L = 15 cm.
Using pythagorean theorem to find the height H of the cone.
H^2 = L^2 - r^2
H^2 = 15^2 - 5.6^2
H = sqrt( 193.64 )
H = 13.9 cm
