Question

In a cylindrical pipe figure 14.23 the area of the surfaces were given find the radius and the height of the cylinder

Answer 1

Hello............ ^_^

Here is your answer....

Given:- top circle area of the cylinder = 154 sq. units.
Curved Surface Area of the cylinder = 880 sq. units.

Top circle area = 154 sq. units
$= > \pi \: {r}^{2} = 154 \\ \\ = > \frac{22}{7} \times {r}^{2} = 154 \\ \\ = > {r}^{2} = 154 \times \frac{7}{22} \\ \\ (154 \div 22 = 7) \\ \\ = > {r }^{2} = 7 \times 7 \\ \\ = > {r}^{2} = 49 \\ \\ = > r = \sqrt{49} \\ \\ = > r = 7$
radius = 7 units


Curved Surface Area = 880 sq. units
$= 2\pi \: rh = 880 \\ \\ = > 2 \times \frac{22}{7} \times 7 \times h = 880 \\ \\ = > 44 \times h = 880 \\ \\ = > h = \frac{880}{44} \\ \\ = > h = 20$
height = 20 units



Hope it helps............ ^_^

Answer 2

Answer:

AREA OF TOP CIRCLE OF CYLINDER=154 sq. Units

C.S.A. of the cylinder=880 sq. units

According to question:

we have to find out first:

Area of top circle=154 sq. units

=> πr²=154

=>22/7 × r²=154

=>r²=154×7÷22

=>r²=49

=>r=√49  = 7

Than we have to find C.S.A.=880 Sq. units

=>2πrh=880

=>2×22/7×7×h=880

=>44/7h=880

∴hence h = 880/44 thats = 20

Step-by-step explanation: