Question

find the volume of surface area and the total surface area of the cone whose height and slant height are 6 CM 10 cm respectively take Pi equal to 3.14

Answer 1

ans of ur ques
hope it helps

Answer 2

Answer:

Volume:401.92 cc

TSA:452.16 sq-cm

CSA=251.2 sq-cm

Step-by-step explanation:

To find the volume and surface area and the total surface area of the cone whose height and slant height are 6 cm and 10 cm respectively,(π= 3.14)

here h= 6cm

l= 10 cm

we know that,radius can be calculated with the help of Pythagoras Theorem

$r = \sqrt{ {l}^{2} - {h}^{2} } \\ \\ r = \sqrt{100 -36 } \\ \\ r = \sqrt{64} \\ \\ r = 8 \: cm$

Volume of Cone:

$\boxed{V_{cone} = \frac{1}{3} \pi {r}^{2} h} \\ \\ V= \frac{1}{3} \times 3.14 \times {(8)}^{2} \times 6 \\ \\ = 3.14 \times 64 \times 2 \\ \\ V_{cone}= 401.92 {cm}^{3}$

Curved surface area of cone:

$\boxed{CSA = \pi \: rl} \\ \\ = 3.14 \times 8 \times 10 \\ \\ = 251.2 \: {cm}^{2}$

Total surface area of cone:

$\boxed{TSA = \pi \: rl + \pi {r}^{2} } \\ \\ = 251.2 + 3.14 \times 64 \\ \\ = 452.16 \: {cm}^{2}$

Hope it helps you.