find the radius of a cylinder if its curved surface area and height are 616 CM square and 14 respectively
Answers
Answer:
Answer :
➥ The Height of right circular cylinder = 14 cm
Given :
➤ Curved surface area of cylinder = 616 cm²
➤ Diameter of the base in = 14 cm
To Find :
➤ Height of the right circular cylinder = ?
Required Solution :
For solving this question, Let's first know about Cylinder and curved surface area of cylinder.
✒ Cylinder :
A cylinder is one of the most basic curved shape.
A cylinder has two parallel circular bases at a distance or Height.
A cylinder has three-dimensional shapes.
✒ Curved surface area :
Curved surface area is the area of the surface of lateral sides excluding the top and bottom faces.
Let's solve this Question...
To find Height of the right circular cylinder, at first we need to find Radius of cylinder, after that we will find Height of the right circular cylinder.
⇒ Radius = d/2
⇒ Radius = 14/2
⇒ Radius = 7 cm
Now, we have Radius and Curved surface area of cylinder,\:
Radius of a cylinder = 7 cm
Curved surface area of cylinder = 616 cm²
We can find Height of cylinder by using the formula of Curved surface area of cylinder which says,
★ CSA of cylinder = 2πrh ★
Here,
Value of π is 22/7
r is the Radius of cylinder in cm.
h is the Height of cylinder in cm.
✎ So, let's find Height (h) !
⇛ CSA of cylinder = 2πrh
⇛ 616 = 2 × 22/7 × 7 × h
⇛ 616 = 2 × 22 × h
⇛ 616 = 44 × h
⇛ 616 = 44h
⇛ 616/44 = h
⇛ 14 = h
⇛ h = 14 cm
║Hence, the Height of right circular cylinder is 14 cm.║
Answer:
radius = ?
height = 14cm
Curved surface Area = 2πrh
616 = 2 × 22/7 × r × 14
616 × 1/2 × 7/22 × 1/14 = r
7 = r
so, radius is 7cm