The volume of right circular cylinder is 448πcm^3 and height 7cm. Fin

1.	The volume of right circular cylinder is 448πcm^3 and height 7cm. Find the lareral surface area and total surface area
Answer» Answer: CSA of the cylinder is 352 cm² and TSA of the cylinder is 754.29 cm². Step-by-step explanation: Given :- The volume of right circular cylinder is 448π cm³. Height is 7 cm. To find :- Curved SURFACE area and total surface area of cylinder. Solution :- Consider, Radius of the cylinder = r cm Formula used :- ${\boxed{\sf{Volume\:of\: cylinder=\pi\:r^2h}}}$ Height = 7 cm According to the question , πr²h = 448π → r²h = 448 → r² × 7 = 448 → r² = 448/7 → r² = 64 → r = 8 ★ Radius of the cylinder is 8 cm. Formula used :- ${\boxed{\sf{T.S.A\:of\: cylinder=2\pi\:rh}}}$ Curved surface area, = 2πrh = 2 × (22/7) × 8 × 7 cm² = 352 cm² ★ CSA of cylinder is 352 cm². Formula used :- ${\boxed{\sf{TSA\:of\: cylinder=2\pi\:r(h+r)}}}$ Total surface area, = 2πr(h+r) = 2×(22/7)×8 (7+8) cm² = 2×(22/7)×8×15 cm² = 754.29 cm² ★ TSA of the cylinder is 754.29 cm².

The volume of right circular cylinder is 448πcm^3 and height 7cm. Find the lareral surface area and total surface area

Answer»

Answer:

CSA of the cylinder is 352 cm² and TSA of the cylinder is 754.29 cm².

Step-by-step explanation:

Given :-

To find :-

Solution :-

Consider,

Formula used :-

${\boxed{\sf{Volume\:of\: cylinder=\pi\:r^2h}}}$

According to the question ,

πr²h = 448π

→ r²h = 448

→ r² × 7 = 448

→ r² = 448/7

→ r² = 64

→ r = 8

★ Radius of the cylinder is 8 cm.

Formula used :-

${\boxed{\sf{T.S.A\:of\: cylinder=2\pi\:rh}}}$

Curved surface area,

= 2πrh

= 2 × (22/7) × 8 × 7 cm²

= 352 cm²

★ CSA of cylinder is 352 cm².

Formula used :-

${\boxed{\sf{TSA\:of\: cylinder=2\pi\:r(h+r)}}}$

Total surface area,

= 2πr(h+r)

= 2×(22/7)×8 (7+8) cm²

= 2×(22/7)×8×15 cm²

= 754.29 cm²

★ TSA of the cylinder is 754.29 cm².