Question

find csa and tsa and volume of a cone whose radius is 6 cm and 7 cm​

Answer 1

Answer:

volume=264 cm3

csa=173.67 cm2

tsa=286.817 cm2

Answer 2

GIVEN :

• RADIUS AND HEIGHT OF CONE = 6cm AND 7 cm

TO FIND :

1. CURVED SURFACE AREA (CSA) OF CONE
2. TOTAL SURFACE AREA (TSA) OF CONE
3. VOLUME OF CONE

SOLUTION :

SLANT HEIGHT OF CONE BE 'l'

IN A CONE ,

${l}^{2} = {r}^{2} + {h}^{2} \\ \\ = > {l}^{2} = 36 \: + 49 \\ \\ = > {l}^{2} = 85 = > l = \sqrt{85} \\ \\ 1)curved \: surface \: area \: (csa) \: of \: cone = \pi rl \\ \\ = \frac{22}{7} \times 6 \times 7 = 132cm {}^{2} \\ \\ 2)total \: surface \: area \: (tsa)of \: cone = \pi r(r + l) \\ \\ = \frac{22}{7} \times 6( \sqrt{85} + 6) = \frac{132 \sqrt{85} }{7} + \frac{132 \times 6}{7} \\ \\ = 113.1 + 173.8 \\ \\ = 286.9cm {}^{2} \\ \\ 3)volume \: of \: cone \: = \frac{\pi {r}^{2} h}{3} \\ \\ = \frac{22 \times 36 \times 7}{7} = 792 {cm}^{3}$

FORMULAS USED :

$i) \: \: {l}^{2} = {r}^{2} + {h}^{2} \\ \\ ii) \: \: volume \: of \: cone = \frac{\pi {r}^{2} h}{3} \\ \\ iii)csa \: of \: cone = \pi rl \\ \\ iv) \: tsa \: of \: cone = \pi r(l + r)$

∴ TSA = 286.9 cm² , CSA = 132 cm² , VOLUME = 792 cm³

HOPE IT HELPS !!!!