112k views
0 votes
Exact surface area. Radius 1 3/4 and height 3 1/4

User Nato
by
8.2k points

1 Answer

1 vote
Answer:

Surface Area = 10π

Step by step solved:

To find the exact surface area of a cylinder with a radius of 1 3/4 and height of 3 1/4, we can use the formula:

Surface Area = 2πr^2 + 2πrh

where r is the radius and h is the height.

Substituting the given values, we get:

Surface Area = 2π(1 3/4)^2 + 2π(1 3/4)(3 1/4)

First, let's simplify the terms inside the parentheses:

1 3/4 = 7/4

3 1/4 = 13/4

Now we can substitute:

Surface Area = 2π(7/4)^2 + 2π(7/4)(13/4)

Simplifying the terms inside the parentheses:

(7/4)^2 = 49/16

(7/4)(13/4) = 91/16

Substituting these values:

Surface Area = 2π(49/16) + 2π(91/16)

Simplifying the terms inside the parentheses:

(49/16)π = (7/4)π

(91/16)π = (13/4)π

Substituting these values:

Surface Area = 2(7/4)π + 2(13/4)π

Simplifying:

Surface Area = 14/4 π + 26/4 π

Surface Area = 40/4 π

Surface Area = 10π

Therefore, the exact surface area of the cylinder is 10π square units.
User Cviejo
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories