Please help me find the volume :3

9514 1404 393

  (d)  539 mm³

Step-by-step explanation:

The total volume is the sum of the volumes of the parts. The volume of each part is the product of its dimensions.

volume of bottom part

  V = LWH

  V = (13 mm)(7 mm)(4 mm) = 364 mm³

volume of the top part

  V = (5 mm)(7 mm)(5 mm) = 175 mm³

Then the total volume is ...

  364 mm³ +175 mm³ = 539 mm³ . . . volume of the figure

centre = (2, - 4 ) and radius = 4

the equation of a circle in standard form is

( x - a )² + ( y - b )² = r²

where (a , b ) are the coordinates of the centre and r is the radius

to obtain this form use the method of ' completing the square ' on both the x and y terms.

x² + 2(- 2 )x + 4 + y² +2( 4)y + 16 = -4 + 4 + 16

(x - 2 )² + (y + 4 )² = 16 ( in standard form ), thus

centre = (2 , - 4 ) and r = √16 = 4