Question

The curved surface area Of a cylinder of height 35 is 1320 cm square. find the radius of its base and volume. plz answer soon ​

Answer 1

$\huge \underline \mathbb \orange {ANSWER}$

$csa = 1320 {cm}^{2} \\ \\ h = 35cm \\ \\ csa = 2\pi \: rh \\ \\ 1320 = 2 \times \frac{22}{7} \times r \times 35 \\ \\ 1320 = 44 \times r \times 5 \\ \\ r = \frac{1320}{220} \\ \\ r = 6cm$

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$volume = \pi {r}^{2} h \\ \\ = \frac{22}{7} \times 6 \times 6 \times 35 \\ \\ = 22 \times 6 \times 6 \times 5 \\ \\ = 3960 {cm}^{3}$

Radius of the base = 6cm

Volume = 3960cm^3

Answer 2

Given :-

$C.S.A. = 1320 {cm}^{2}$

h = 35 cm

To find :-

1) Radius of its base.

2) Volume.

Formulas :-

1) C.S.A. = 2πrh

2) $Volume = π {r}^{2} h$

Solution :-

1) C.S.A. = 2πrh

$1320 = 2 × \frac{22}{\cancel7} × r × \cancel {35}$

$1320 = 44 × r × 5$

$r = \frac{1320}{220}$

r = 6 cm

2) $Volume = π {r}^{2} h$

$=> \frac{22}{\cancel7} × 6 × 6 × \cancel {35}$

= 22 × 6 × 6 × 5

$= 3960 {cm}{3}$

ANSWERS :-

1) Radius of the base = 6 cm

2) Volume = $3960 \: {cm}{3}$