Question

The height of a cone is 16 cm and the base radius is 12 cm find curved surface area and volume of the Dome. ( use pie=3.14)

Answer 1

Hi...☺

Here is your answer...✌
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Given that,
Height of cone , h = 16 cm
Radius of base of cone , r = 12 cm

Now,
We have to find slant height (l)

Using relation,

l² = h²+r²

We have,

l² = (16)²+(12)²

l² = 256+144

l² = 400

=> l = 20

Now,
We know that,

(1) : Curved surface area of cone

= πrl

= 3.14×12×20

= 753.6 cm²

(2) : Volume of cone

$= \frac{1}{3} \pi {r}^{2} h \\ \\ = \frac{1}{3} \times 3.14 \times 12 \times 12 \times 16 \\ \\ = 3.14 \times 4 \times 12 \times 16 \\ \\ = 3.14 \times 768 \\ \\ = 2411.52 \: cm {}^{3}$

Answer 2

Hii friend,

Height of cone (H) = 16 cm

Radius (R) = 12 cm

Volume of cone = 1/3πr²h

= 1/3×22/7×12×12×16 = 22×144×16 ÷ 21 = 2413.71 cm³

Slant height (L) = ✓ (H)² + (R)²

L = ✓ (16)² + (12)²

L = ✓256 + 144

L = ✓400

L = 20 cm

Therefore,

CSA of cone = πRL = 22/7 × 16 × 20 = 7040/7 = 1005.71 cm².

Hence,

Volume of cone = 2413.71 cm³


And,


CSA of cone = 1005.71 cm²

HOPE IT WILL HELP YOU..... :-)