Question

If the volume of an cylinder is 7000 cubic centimeters and the area of the base is 100 square centimeters, what is the length of the cylinder?*

1).14cm
2).70 cm
3).7000cmsq
4).7 sqcm

[ tex]#\;Modetator\; challenge [/tex]​

Answer 1

★ Question Given :

• If the volume of an cylinder is 7000 cubic centimeters and the area of the base is 100 square centimeters, what is the length of the cylinder?*

• ↝ (1). 14cm
• ↝ (2). 70 cm ✔
• ↝ (3). 2100 cm
• ↝ (4). 7 sqcm

★ Required Solution :

★ Values given to us :

• ⇒ Volume of cylinder = 7000cm³

• ⇒ Area of base of cylinder = 100cm²

★ Formula used here :

• ⇒ area of base of cylinder = πr²

• ⇒ Volume of cylinder = πr²h

✡ Let ‘h’ be length of cylinder

★ According to question :

• ⇒ Volume of cylinder = area of base of cylinder

• ⇒ 7000 cm³ = 100h

• ⇒ 7000 / 100 = ‘h’

★ value of height = 70cm ★

⛦ Therefore :

✰ Option (2) is correct ✔ ✰

______________________________

Answer 2

Answer:

$\large\underline\red{\sf \pmb{Given}}$

• Volume of an cylinder is 7000 cm³
• Area of the base is 100 square²

$\large \underline \red {\sf \pmb{To \: Find }}$

• Length of Height of the cylinder.

$\large \underline\red {\sf \pmb{Formulae \: Used}}$

$\purple\odot \underline{ \boxed{\sf{Area \: of \: Base \: of \: Cylinder = \pi{r}^{2} h}}}$

$\purple\odot{\underline{\boxed{ \sf{Volume \: of \: Cylinder = \pi {r}^{2}h}}}}$

$\large \underline \red{\sf \pmb{Solution}}$

Let the Length of Cylinder be "h"

Here

• ⇒ Volume of Cylinder = 7000cm³
• ⇒ Area of Base of Cylinder = 100cm² × h

According to the Question

${\implies\sf{Volume \: of \: Cylinder = Area \: of \: Base \: of \: Cylinder}}$

• Substituting the values

$\implies \sf {7000} = {100}\times h$

$\implies\sf{h = \dfrac{7000}{100}}$

$\implies\sf{h = \cancel\dfrac{7000}{100}}$

$\implies\sf{h =70 \: cm}$

$\large \pink\star \underline {\boxed{\sf \purple{h =70 \: cm}}}$

• Henceforth,The length of the cylinder is 70 cm.
• So,The option 2)70 cm is the correct answer ✓

$\large\underline{ \red{ \sf \pmb{Know \: More }}}$

✠ Cylinder

★ A cylinder has two flat ends in the shape of circles. These two faces are connected by a curved face that looks like a tube. If you make a flat net for a cylinder, it looks like a rectangle with a circle attached at each end.

• ➛ Cylinder - A cylinder is a shape with two circular ends connected by a curved face.
• ➛ Face - A cylinder has three faces. Two are flat circles and the third is curved into a tube.
• ➛ Edge - An edge is the line where two faces meet. Cylinders have two edges that run around the two circular ends and connect with the curved face.
• ➛ Net - The net of a cylinder is formed of two circles, with one attached to each end of a rectangle.
• ➛ Circle - The two circular ends are flat on the cylinder so look the same in the flat net.
• ➛ Rectangle - The tube part of a cylinder looks like a rectangle in the flat net. To make the cylinder, it has to be curved around to follow the edges of the circular ends.

✠ Diagram of Cylinder

$\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{r}}\put(9,17.5){\sf{h}}\end{picture}$

• Request - Please see the answer from website Brainly.in.