Question

As a safety measure a fuel gas organization recommended gas cylinder (assuming perfect cylinder) with the height 2x-1 units and radius 2x + 1 units.
a) . Express the volume of the gas in the cylinder as a polynomial.
b) Express the surface area of the cylinder as a polynomial
c) Express the cost of painting the cylinder @ Rs 10 per Sq. units as a polynomial.​

Answer 1

Answer:

(a) 8x³+4x²-2x-1

(b) 8(2x²+x)

(c) 80(2x²+x)

Step-by-step explanation:

mark me brilliant

Answer 2

Concept:

Mensuration is the branch of mathematics that studies the measurement of geometric figures and their parameters like length, volume, shape, surface area, lateral surface area, etc

Cylinder is a long tube with circular edges

Volume of cylinder=πr²h

Surface area of cylinder=2πrh

Total Surface area of cylinder=2πr(r+h)

Given:

As a safety measure a fuel gas organization recommended gas cylinder (assuming perfect cylinder) with the height 2x-1 units and radius 2x + 1 units

Find:

a) . Express the volume of the gas in the cylinder as a polynomial.

b) Express the surface area of the cylinder as a polynomial

c) Express the cost of painting the cylinder @ Rs 10 per Sq. units as a polynomial.​

Solution:

(a)R=2X+1

h=2x-1

V=πr²h

  =πx(2x+1)²(2x-1)

   =π(8x³+4x²-2x-1)

(b) Surface area of cylinder=2πr(r+h)

                                             =2π(2x+1)(2x-1+2x+1)

                                             =2π(2x+1)4x                                          

                                              =8π(2x²+x)

(c)Cost of painting the cylinder =Rs 10 x surface area

                                                  =8π(2x²+x) x 10 Rs

                                                  =80π(2x²+x)   Rs

Therefore,

(a)π( 8x³+4x²-2x-1)

(b) 8π(2x²+x)

(c) 80π(2x²+x)

#SPJ3