Question

Find csa and tsa of cone whose height is 8cm and radius of base is 6cm.

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{C.S.A\:of\:cone=188.4\:cm^{2}}}}$

$\green{\tt{\therefore{T.S.A\:of\:cone=301.44\:cm^{2}}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Height \: of \:cone = 8 \: cm \\ \\ \tt: \implies Radius \: of \:cone = 6 \: cm \\ \\ \red{\underline \bold{To \: Find:}} \\ \tt: \implies C.S.A\: of \: cone = ? \\ \\ \tt: \implies T.S.A \: of \: cone = ?$

• According to given question :

$\bold{For \: slant \: height} \\ \tt: \implies {l}^{2} = {h}^{2} + {r}^{2} \\ \\ \tt: \implies {l}^{2} = {8}^{2} + {6}^{2} \\ \\ \tt: \implies {l}^{2} = 64 + 36 \\ \\ \tt: \implies {l}^{2} = 100 \\ \\ \tt: \implies {l} = \sqrt{100} \\ \\ \tt: \implies {l} = 10 \: cm\\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies C.S.A \: of \: cone = \pi rl \\ \\ \tt: \implies C.S.A \: of \: cone =3.14 \times 6 \times 10 \\ \\ \green{\tt: \implies C.S.A \: of \: cone =188.4 \: {cm}^{2} } \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies T.S.A \: of \: cone =\pi r(l +{r}) \\ \\ \tt: \implies T.S.A \: of \: cone = 3.14 \times 6(10 + 6) \\ \\ \tt: \implies T.S.A\: of \: cone =3.14 \times 6 \times 16 \\ \\ \green{\tt: \implies T.S.A \: of \: cone =301.44 { \: cm}^{2} }$

Answer 2

$\tt{\huge{\orange{Hello!!!}}} B.Q.$

QUESTION :

Find csa and tsa of cone whose height is 8cm and radius of base is 6cm.

ANSWER :

CSA of cone is equal to 188.4 square cm.

TSA of cone is equal to 301.44 square cm.

SOLUTION :

CSA = πrl

CSA = πrl l^2 = h^2 + r^2

CSA = πrl l^2 = h^2 + r^2=> l^2 = 64 + 36

CSA = πrl l^2 = h^2 + r^2=> l^2 = 64 + 36 => L = 10 cm .

CSA = πrl l^2 = h^2 + r^2=> l^2 = 64 + 36 => L = 10 cm .CSA = 188.4 cm^2

CSA = πrl l^2 = h^2 + r^2=> l^2 = 64 + 36 => L = 10 cm .CSA = 188.4 cm^2TSA = πr(l+r) = 301.44 cm^2..