Which expression is equivalent to

Find the surface area of the cylinder to the nearest whole number. The figure is not drawn to

Anettt [7]

Answer:

correct option is 2187

Total surface area is 2,185.44 square inches.

lateral surface area is 640.56 square inches

Step-by-step explanation:

Given

radius of cylinder = 12 inches

height of cylinder = 17 inches

we will us value of pi as 3.14

surface area for cylinder consist of two part

1. lateral surface area which is gven by $2\pi rl$

where r is radius of cylinder and l is height of cylinder

Thus, lateral surface area for given cylinder is

$2\pi rl\\ =>2* 3.14*12*17\\=> 1281.12$

Thus, lateral surface area for given cylinder is 1281.12 square inches.

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second part of surface area is area of two base (upper and lower) of cylinder.

area of base is given by area of circle $\pi r^2$

$area \ of \base = \pi r^2 = 3.14*12^2\\=>area \ of \base = 3.14*144 = 452.16$

This, area of base is for one base of cylinder

since there are 2 base

area of both base will be = 2* area of one base

= 2*452.16 = 904.32.

Thus, area of base is 904.32 sq. in.

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Total surface area of cylinder = area of two base+ lateral surface area of cylinder = 1281.12 square inches + 904.32 square inches

= 2,185.44 square inches.

Thus, total surface area is 2,185.44 square inches.

lateral surface area is 640.56 square inches

but option which is closest to calculated value is 2187.

Thus, correct option is 2187

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Note: this problem can be directly solved using formula

total surface area for cylinder = $2\pi r^2 + 2\pi rl$

5 0

3 years ago

What is the solution set of -x2_6 <0?

Virty [35]

Are you sure you typed your equation correctly? Is the _ meant to be a division symbol?

6 0

3 years ago

6. Use a one unit multiplier to convert 20 inches to centimeters.

fredd [130]

6. Multiply the given equation by 20

... 20×1 in. = 20×2.54 cm

... 20 in = 50.8 cm

7. Multiply the equation (1 foot = 12 inches) by 25.

... 25×1 ft = 25×12 in

... 25 ft = 300 in

Now, multiply the equation for conversion to cm by 300

... 300×1 in = 300×2.54 cm

... 300 in = 762 cm

Using the transitive property of equality,

... 25 ft = 300 in = 762 cm

... 25 ft = 762 cm

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A "unit multiplier" is no doubt explained in your lesson. We assume it is a fraction whose value is 1, but that has different units in numerator and denominator. The equation 1 in = 2.54 cm gives rise to two unit multipliers, depending on which conversion you need or want:

$1=\dfrac{1\,\text{in}}{2.54\,\text{cm}}=\dfrac{2.54\,\text{cm}}{1\,\text{in}}$