72.4k views
5 votes
Help fast please please help ASAP ASAP please please

Help fast please please help ASAP ASAP please please-example-1
User M Sost
by
7.2k points

1 Answer

5 votes

9514 1404 393

Answer:

LA = 20π square units

SA = 36π square units

V = 16π cubic units

Explanation:

The value of the radius is needed before any area calculations can be done. It can be found from the Pythagorean theorem:

r² + 3² = 5²

r = √(25 -9) = 4

__

The lateral area is given by the formula ...

LA = πrs . . . . . where r is the radius and s is the slant height

LA = π(4)(5)

LA = 20π square units

__

The surface area is the sum of the lateral area and the base area. The latter is the area of a circle of radius 4.

SA = πr² + LA

SA = π(4²) +20π = 16π +20π

SA = 36π square units

__

The volume is given by the formula ...

V = 1/3πr²h

V = 1/3π(4²)(3) = 16π

The volume is 16π cubic units.

User Vehk
by
8.4k 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