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02.08.2022

How is the surface area of an open cylinder calculated?.

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09.07.2023, solved by verified expert

Bibin (Bibi) P B

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SA =

Step-by-step explanation:

Surface area of an open cylinder = circumference x height

⇒ SA =

(where r is the radius and h is the height)

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Mathematics

How is the surface area of an open cylinder calculated?.

Step-by-step answer

P Answered by Specialist

SA = $2\pi rh$

Step-by-step explanation:

Surface area of an open cylinder = circumference x height

⇒ SA = $2\pi rh$

(where r is the radius and h is the height)

Mathematics

You plan to build a cylindrical container with no top. the material used for the lateral sides costs $6 per square foot while the material for the bottom costs $9 per square foot. (a) express the surface area of the open cylinder in terms of the cylinder s radius, r, and height, h. s = (b) express the cost of building the open cylinder in terms of the cylinder s radius, r, and height, h. c = (c) if the volume of the cylindrical container is 500 cubic feet, express the cost of building the cylinder, c in terms of the cylinder s radius, r. c(r) =

Step-by-step answer

P Answered by Master

2

Step-by-step explanation:

Since open cylinder surface area includes only bottom area and curved SA

a) Surface area of the given cylinder

= curl surface area + bottom surface area

S= 2pir h + pir^2

b) Cost C= 2pir h (6) + 9(pir^2) = 12 pirh + 9 pir^2

c) V = pir^2 h=500

Hence h = 500/pir^2

C(r) = 12 pirh + 9 pir^2

= 12 /500r + 9 pir^2

d) If V is constant and unknown

then h = V/pir^2

Hence C(r) = 12 /Vr + 9 pir^2

Mathematics

You plan to build a cylindrical container with no top. the material used for the lateral sides costs $6 per square foot while the material for the bottom costs $9 per square foot. (a) express the surface area of the open cylinder in terms of the cylinder s radius, r, and height, h. s = (b) express the cost of building the open cylinder in terms of the cylinder s radius, r, and height, h. c = (c) if the volume of the cylindrical container is 500 cubic feet, express the cost of building the cylinder, c in terms of the cylinder s radius, r. c(r) =

Step-by-step answer

P Answered by Specialist

2

Step-by-step explanation:

Since open cylinder surface area includes only bottom area and curved SA

a) Surface area of the given cylinder

= curl surface area + bottom surface area

S= 2pir h + pir^2

b) Cost C= 2pir h (6) + 9(pir^2) = 12 pirh + 9 pir^2

c) V = pir^2 h=500

Hence h = 500/pir^2

C(r) = 12 pirh + 9 pir^2

= 12 /500r + 9 pir^2

d) If V is constant and unknown

then h = V/pir^2

Hence C(r) = 12 /Vr + 9 pir^2

Mathematics

Use a net to find the surface area of the open cylinder with only one base. Use 3.14 for pi.

Step-by-step answer

P Answered by PhD

251.20 cm square

Step-by-step explanation:

As given in figure

height of cylinder = 2 cm

radius of cylinder = 8 cm

lateral surface area of cylinder is given by = $\pi r l$

where r is the radius and l is the height

Therefore, lateral surface area of given cylinder

$\pi r l = 3.14*8*2 = 50.24$

area of base is give by $\pi r^2$

since there is only one base area of that base

= $\pi r^2 = 3.14*8^2 = 3.14*64 = 200.96$

Thus,

Total surface area of open cylinder = 50.24 + 200.96 = 251.20 cm square

Mathematics

Use a net to find the surface area of the open cylinder with only one base. Use 3.14 for pi.

Step-by-step answer

P Answered by PhD

251.20 cm square

Step-by-step explanation:

As given in figure

height of cylinder = 2 cm

radius of cylinder = 8 cm

lateral surface area of cylinder is given by = $\pi r l$

where r is the radius and l is the height

Therefore, lateral surface area of given cylinder

$\pi r l = 3.14*8*2 = 50.24$

area of base is give by $\pi r^2$

since there is only one base area of that base

= $\pi r^2 = 3.14*8^2 = 3.14*64 = 200.96$

Thus,

Total surface area of open cylinder = 50.24 + 200.96 = 251.20 cm square

Mathematics

Use a net to find the surface area of the open cylinder with only one base. Use 3.14 for pi. Please answer in cm squared.

Step-by-step answer

P Answered by PhD

753.98224 cm^2

Step-by-step explanation:

A=2πrh+2πr2=2·π·8·7+2·π·82≈753.98224

Mathematics

Work out the outer surface area of this open top cylinder. Give your answer in terms of Pi 6m 10m

Step-by-step answer

P Answered by PhD

Surface Area open top S = 156 π m²

Step-by-step explanation:

Explanation : -

Given radius of the cylinder 'r' = 6m

Given height of the cylinder 'h' = 10 m

Surface area of the open cylinder

$S = 2 \pi r h + \pi r^{2}$

S = 2 π ( 6 ) ( 10 ) + (π ) (6 )²

S = 120 π + 36 π

S = 156 π m²

English

Find the surface area of the open circular cylinder shower=4 h= 7

Step-by-step answer

P Answered by PhD

Here we have a cylinder without a base on the top (though still one on the bottom)
Let's break down the surface area of this cylinder.
$SA_{cyl}=LA_{cyl}+B$
The surface area is equal to the lateral area plus the area of that one base.

The lateral area of any prism is equal to the perimeter of the base times the height.
LA=Ph

LA=Ph

In this case, since the base is a circle, the perimeter is the circumfrence, which can be found using C = 2πr...r = 4, so C = 8π. h = 7, so LA = 56π.

The base is just the area of a circle, which can be found with this formula.
$A_\odot=\pi r^2$
r =4, so r² = 4×4 = 16, and the area of the base is = 16π.

SA = LA + B
SA = 56π + 16π
SA = 72π

Mathematics

Work out the outer surface area of this open top cylinder. Give your answer in terms of Pi 6m 10m

Step-by-step answer

P Answered by PhD

Surface Area open top S = 156 π m²

Step-by-step explanation:

Explanation : -

Given radius of the cylinder 'r' = 6m

Given height of the cylinder 'h' = 10 m

Surface area of the open cylinder

$S = 2 \pi r h + \pi r^{2}$

S = 2 π ( 6 ) ( 10 ) + (π ) (6 )²

S = 120 π + 36 π

S = 156 π m²

English

Find the surface area of the open circular cylinder shower=4 h= 7

Step-by-step answer

P Answered by PhD

Here we have a cylinder without a base on the top (though still one on the bottom)
Let's break down the surface area of this cylinder.
$SA_{cyl}=LA_{cyl}+B$
The surface area is equal to the lateral area plus the area of that one base.

The lateral area of any prism is equal to the perimeter of the base times the height.
LA=Ph

LA=Ph

In this case, since the base is a circle, the perimeter is the circumfrence, which can be found using C = 2πr...r = 4, so C = 8π. h = 7, so LA = 56π.

The base is just the area of a circle, which can be found with this formula.
$A_\odot=\pi r^2$
r =4, so r² = 4×4 = 16, and the area of the base is = 16π.

SA = LA + B
SA = 56π + 16π
SA = 72π

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