Question

Find the volume, curved surface area and the total surface area of a cone whose height and the slant
height are 6 cm and 10 cm respectively.​

Answer 1

Answer:

Volume = 402.29 cm³

C.S.A. = 251.43 cm²

T.S.A. = 301.72 cm²

Step-by-step explanation:

Before calculation of all of these, lets calculate first radius of cone,.

Let radius of cone be r

, slant height be l

and height be h

$r = \sqrt{ {l}^{2} - {h}^{2} }$

$r = \sqrt{{10}^{2} - {6}^{2} }$

$r = \sqrt{ {8}^{2} }$

$r = 8 \: cm$

Now lets calculate: )

Volume:

Volume of a cone is given by:

$\frac{1}{3} \pi {r}^{2} h$

$= \frac{1}{3} \times \frac{22}{7} \times {8}^{2} \times 6$

$= 402.29 \: c {m}^{3}$

(approx.)

Curved Surface Area:

Curved Surface Area of a cone is given by:

$\pi rl$

$= \frac{22}{7} \times 8 \times 10$

$= 251.43 \:c {m}^{2} (approx.)$

Total Surface Area:

Total Surface area is given by:

$C.S.A. + 2\pi r$

$= 251.43 + (2 \times \frac{22}{7} \times 8)$

$= 251.43 + 50.29$

$= 301.72 \: c {m}^{2}$

Hope it helps,

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