Question

the total surface area of a solid cylinder is 462 CM square and its curved surface area is 1 by 3 of the total surface area find the volume of the cylinder

Answer 1

Answer:

T.S.A/3 =  (C.S.A)

462/3 = C.S.A

==> 154 = C.S.A

REST AREA OF EACH CIRCLE ==> 462-154

==> 2πR² = 308

==> R² = 308× 7/22×1/2

==> R² = 14 × 7/2

==> R = √7×7

==>  R = 7

==> C.S.A = 2πRH

==> 154 = 2×22/7 × 7 × H

==> 154×1/2×7/22×1/7 = H

==> 7/2 = H

VOLUME OF CYLINDER = πR²H

VOLUME = 22/7 × 7 × 7 × 7/2

VOLUME = 11 × 7 × 7

VOLUME = 539 CM³

I HOPE ITS HELPFUL

MARK AS BRAINLIEST

Answer 2

$\huge{\mathfrak{\red{Answer}}}$

Curved surface area = total surface area / 3.

Curved surface area = 462/3 = 154.

Rest of area = 462 - 154 = 308.

$\longrightarrow$2πr^2 = 308.

$\longrightarrow$r^2 = 308 x 7 / 44 = 49.

$\longrightarrow$r = 7.

2πrh = 154.

h = 154 / 2 x 22 = 7/2.

$\longrightarrow$Volume = πr^2 h = (22/7) x (7^2) x (7/2) = 539.

$\rm Volume = 539 cm^3$