an open cylindrical bottle has a base area equal to 154cm.its lenght is 30cm. find its total surface area.
Answers
Given data :
- An open cylindrical bottle has a base area equal to 154 cm².
- Length of open cylindrical bottle is 30 cm.
To find : Total surface area of open cylindrical bottle.
Solution : According to given,
→ Area of base of bottle = 154 cm² .....( 1 )
Let, shape of base cylindrical bottle be circular. Hence, here we use formula of area of circle.
→ π * r² = 154
→ 22/7 * r² = 154
→ 22 * r² = 154 * 7
→ 22 * r² = 1078
→ r² = 1078/22
→ r² = 49
→ r = √49
→ r = 7 cm
Let, the length of cylindrical bottle be height. Now,
→ curved surface area of cylindrical bottle
= 2 * π * r * h
→ curved surface area of cylindrical bottle
= 2 * 22/7 * 7 * 30
→ curved surface area of cylindrical bottle
= 2 * 22 * 30
→ curved surface area of cylindrical bottle
= 44 * 30
→ curved surface area of cylindrical bottle
= 1320 cm² .......( 2 )
Now, to find total surface area of open cylindrical bottle. We need to add curved surface area of cylindrical bottle and area of base of bottle.
Now, from eq. ( 1 ) & eq. ( 2 )
→ Total surface area of bottle
= 1320 + 154
→ Total surface area of bottle
= 1474 cm²
ANSWER : Hence, Total surface area of open cylindrical bottle is 1474 cm².
LEARN MORE :
4) The sum of the areas of two squares is 400 sq.m. If the difference between their perimeter is 16 m. , what are the si...
https://brainly.in/question/27166746
a rectangular hall 15 m long and 12 m broad is surrounded by a verandhah 3m wide.find the area of the verandhah
https://brainly.in/question/26785531