Work out the volume of the solid shape

Give your answers in terms of pi please

*The complete question is in the picture attached below.

756πcm³

Step-by-step Explanation:

The volume of the solid shape = volume of cone + volume of the hemisphere.

==> 270πcm³ + ½(4/3*π*r³)

To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.

Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.

==> Volume of cone = ⅓πr²h

⅓*π*r²*10 = 270π

⅓*10*r²(π) = 270 (π)

10/3 * r² = 270

r² = 270 * ³/10

r² = 81

r = √81

r = 9 cm

Thus, volume of hemisphere = ½(4/3*π*r³)

==> Volume of hemisphere = ½(⁴/3 * π * 9³)

= ½(972π)

Volume of hemisphere = 486πcm³

Volume of the solid shape

= volume of cone + volume of the hemisphere.

==> 270πcm³ + 486πcm³

= 756πcm³

The answer is a hoped that

To find the x-intercept, make  y  equal to zero, and solve for  x. to find the y-intercept, make  x  equal to zero, and solve for  y.explanation: y=4x−2x-intercept0=4x−2add  2  to both sides of the equation.2=4xdivide both sides by  4.24=xsimplify.12=xswitch sides.x=12y-intercepty=4(0)−2y=−2