Question

The base area of a cone is
38.5cmsquare.Its volume is 77cm square.Find its height?​

Answer 1

height = 6 cm

please follow it

Answer 2

Answer :

6 cm

Step by step explanation :

1) base area of cone = π × r × r

38.5cm square = 22/7 × r × r

38.5 cm square ÷ 22/7 = r × r

38.5 cm square × 7/22 = r × r

12.25 cm square = r × r

hence, r = 3.5 cm

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2) Volume of cone = π × r × r × h × 1/3

hence,. 77 = 22/7 × 3.5 × 3.5 ×h × 1/3

77 ÷ 22/7 = 3.5 × 3.5 × h × 1/3

77 × 7/22 = 3.5 × 3.5 × h × 1/3

24.5 = 12.25 × h × 1/3

24.5 ÷ 12.25 = h × 1/3

2 = h × 1/3

2 ÷ 1/3 = h

2 × 3 = h

6 = h

hence, height = 6cm

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