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in Surface Areas And Volumes by (58.8k points)

Find the volume, curved surface area and the total surface area of a cone having base radius 35cm and height 12cm.

1 Answer

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Best answer

It is given that

Radius of the cone = 35cm

Height of the cone = 12cm

We know that

Volume of the cone = 1/3 πr2h

By substituting the values

Volume of the cone = 1/3 × (22/7) × 352 × 12

On further calculation

Volume of the cone = 15400 cm3

We know that

Slant height l = √(r2 + h2)

By substituting the values

l = √ (352 + 122)

On further calculation

l = √ 1369

So we get

l = 37 cm

We know that

Curved surface area of a cone = πrl

By substituting the values

Curved surface area of a cone = (22/7) × 35 × 37

So we get

Curved surface area of a cone = 4070 cm2

We know that

Total surface area of cone = πr (l + r)

By substituting the values

Total surface area of cone = (22/7) × 35 × (37 + 35)

On further calculation

Total surface area of cone = 22 × 5 × 72

So we get

Total surface area of cone = 7920 cm2

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