# How do you find the volume of a sector prism?

## How do you find the volume of a sector prism?

Effectively, for cylinders and prisms, the volume is the area of one side multiplied by the depth or height of the shape. The basic formula for volume of prisms and cylinders is therefore: Area of the end shape × the height/depth of the prism/cylinder.

How do you find the volume of a cylinder sector?

The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h . Simplify.

### How do you find area of a sector?

Area of Sector Formula The area of a sector can be calculated using the following formulas, Area of a Sector of Circle = (θ/360º) × πr2, where, θ is the sector angle subtended by the arc at the center, in degrees, and ‘r’ is the radius of the circle.

What is the formula for arc length of a sector?

You can find the arc length by converting the circumference formula. With a central angle in degrees, it’s 2 times pi times the radius (that’s the circumference formula) times n/360, where n is the central angle. With radians, it’s just the radius times the angle, or r*C.

## What is the formula for arc?

For a circle, the arc length formula is θ times the radius of a circle. The arc length formula in radians can be expressed as, arc length = θ × r, when θ is in radian. Arc Length = θ × (π/180) × r, where θ is in degree, where, L = Length of an Arc. θ = Central angle of Arc.

What is the formula of major sector?

Frequently Asked Questions (FAQ) – Area of a Sector Ans: If the central angle of a sector(minor sector) is $$θ$$ then, the formula of the major sector is $$=\frac{360^{\circ}-\theta}{360^{\circ}} \times \pi r^{2}$$ where r is the radius of the circle.

### How do you find the volume for a rectangular prism?

The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W.

What is the formula for the volume of a prism?

The formula for the volume of a prism is obtained by taking the product of the base area and height of the prism. The volume of a prism is given as V = B × H where, “V” is the volume of the prism, “B” is the base area of the prism, and “H” is the height of the prism.

## How to find the volume and surface of the spherical sector?

The base of the sphere is called it’s zone. It can be the spherical cap and union of a cone. The formula we will use here is to find the volume and surface of the spherical sector. The formula has been given below: \$\\large A=\\pi r(2h+a)\$ \$\\large V=\\frac{2\\pi r^{2}h}{3}\$

How do you find the base area of a prism?

The steps to determine the base area of the prism, if the volume of the prism is given, are: 1 Step 1: Write the given dimensions of the prism. 2 Step 2: Substitute the given values in the formula V = B × H where “V”, “B”, and “H” are the volume, base area, and height of the prism. 3 Step 3: Now solve the equation for “B”.

### What is the volume of a hexagonal prism?

A hexagonal prism is a prism with six rectangular faces and two parallel hexagonal bases. The base area of the hexagonal prism is 3ab, the formula to find the volume of a hexagonal prism is given as: The volume of a Hexagonal Prism = 3abh cubic units