Question

The curved surface area of a cylinder is 440 CM square and the perimeter of its base is 8 cm find the height of the cylinder

Answer 1

ɢɪᴠᴇɴ :-

• Curved surface area of a cylinder = 440 cm²
• Perimeter of base = 8cm

ᴛᴏ ꜰɪɴᴅ :-

• Height of cylinder

ꜱᴏʟᴜᴛɪᴏɴ :-

✪ As we know that ✪

➪ Curved surface area of cylinder

➪ Circumference of base × height = 440

➪ 2πr × h = 440

➪ 8 × h = 440 (perimeter of base)

➪ h = 440/8

➪ h = 55cm

Hence,

• Height of cylinder is 55cm

Extra Information :-

• Volume of cylinder = πr²h
• T.S.A of cylinder = 2πrh + 2πr²
• Volume of cone = ⅓ πr²h
• C.S.A of cone = πrl
• T.S.A of cone = πrl + πr²
• Volume of cuboid = l × b × h
• C.S.A of cuboid = 2(l + b)h
• T.S.A of cuboid = 2(lb + bh + lh)
• C.S.A of cube = 4a²
• T.S.A of cube = 6a²
• Volume of cube = a³
• Volume of sphere = 4/3πr³
• Surface area of sphere = 4πr²
• Volume of hemisphere = ⅔ πr³
• C.S.A of hemisphere = 2πr²
• T.S.A of hemisphere = 3πr

Answer 2

Answer:

55 cm

Step-by-step explanation:

Given that the curved surface area of a cylinder is 440 cm square and the perimeter of it's base is 8 cm.

We have to find the height of the cylinder.

Curved surface area of cylinder = 2πrh

Substitute the values,

→ 2πrh = 440 .........(1)

The base of the cylinder is in the shape of circle. And the perimeter of the circle is 8 cm (as per question).

Perimeter of circle = 2πr

→ 2πr = 8 ............(2)

Substitute value of (2) in (1)

→ (8)h = 440

→ 8h = 440

→ h = 440/8

→ h = 55

Hence, the height of the cylinder is 55 cm.