Question

find the slant height and vertical height of a cone with radius 5.6 cm and curved surface area 158.4 cm

Answer 1

22/7×5.6×l=158.4
so answer is 9 cm

Answer 2

The slant height and vertical height are 9 cm and 7.045 cm

Step-by-step explanation:

Radius of cone = 5.6 cm

Curved surface area of triangle = $\pi r l = \frac{22}{7} \times 5.6 \times l$

Curved surface area of triangle = 158.4 cm

$\frac{22}{7} \times 5.6 \times l = 158.4$

$l = \frac{158.4 \times 7}{22 \times 5.6}$

l= 9 cm

$l^2= h^2 + r^2 \\9^2 = h^2+5.6^2\\ \sqrt{9^2-5.6^2}=h\\7.045= h$

Hence The slant height and vertical height are 9 cm and 7.045 cm

#Learn more:

Find the curved surface area of a cone whose base radius is 5.6 cm and slant height is 9 CM

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