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Chapter 7: Q19. (page 460)

GEOMETRY Use the formulaV=蟺r2h to find the volume of the cylinder.

Short Answer

Expert verified

The volume of cylinder is 45蟺x4.

Step by step solution

01

Step 1. Replace the variables with their values.

Replace r with 3x and h with5x2 into V=蟺r2h.

V=蟺3x25x2

02

Step 2. Group the coefficients and the variables.

Group the coefficients and variables in the given expression.

V=蟺鈰�32鈰�5x2鈰�x2

03

Step 3. Write the property of product of powers.

For any real number a and any integers m and n, am鈰�an=am+n.

04

Step 4. Apply property of product of powers and simplify.

Apply the property of product of powers to the expression obtained in step 2 and simplify.

V=蟺鈰�32鈰�5x2+2=45蟺x4

Therefore, volume of cylinder is 45蟺x4.

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