$CATEGORY: Maths - TicTacLearn/12. Surface areas and volumes/12. Surface areas and volumes--Surface Area of a Combination of Solids

//Multiple Choice

What is the combination of solid figures in an ice cream cone? {
~ Cone and sphere
= Hemisphere and cone
~ Cylinder and cone
~ Cube and hemisphere
}

Which part of the ice cream cone represents a hemisphere? {
= Top
~ Bottom
~ Middle
~ None
}

What is the formula for the curved surface area of an ice cream cone? {
~ πr(r+l)
~ 2πr(r+h)
~ πrl + 2πr²
= πr(2r+l)
}

What is the shape of the company's warehouse? {
~ Combination of a cone and a sphere
= Combination of a cone and a cylinder
~ Combination of a hemisphere and a cylinder
~ Combination of a cube and a cylinder
}

What is the curved surface area of a cylinder dependent on? {
= Height and radius
~ Radius and slant height
~ Length and radius
~ None of these
}

What is the curved surface area of a hemisphere? {
= 2πr²
~ 4πr²
~ πrl
~ 2πrh
}

What shape is the front part of a pencil? {
~ Hemisphere
~ Cylinder
= Cone
~ Sphere
}

The radius of the warehouse base is\: {
~ 10 m
~ 20 m
= 30 m
~ 40 m
}

How do we calculate the curved surface area of a cylinder? {
= 2πrh
~ πr²h
~ √(r² + h²)
~ πr(r+h)
}

How do we calculate the total area of the walls of the warehouse? {
= By adding the curved surface areas of the cylinder and cone
~ By multiplying the radius and height of the cylinder
~ By subtracting the base area from the cylinder’s surface area
~ By adding the volume of both the cylinder and cone
}

//True or False

An ice cream cone is a combination of a hemisphere and a cone. {T}

Wallpaper is applied to the entire outer area of the warehouse, including its base. {F}

The curved surface area of a cone is πrl. {F}

The slant height of the cone is required to calculate its curved surface area. {T}

The radius of the warehouse is 40 meters. {F}

The pencil is made up of three solid figures\: a cone, cylinder, and hemisphere. {T}

The formula to find the slant height of a cone is √(r² + h²). {T}

The curved surface area of a cylinder depends on its height and radius. {T}

The curved surface area of a hemisphere is 4πr². {F}

The conical part of the pencil has a height of 4 cm. {T}

//Numericals

Find the curved surface area of a cone with radius 7 cm and slant height 10 cm. {
~ 220 cm²
~ 200 cm²
= 210 cm²
~ 230 cm²
}

Calculate the curved surface area of a cylinder with radius 30 m and height 100 m. {
~ 9000π m²
~ 3000π m²
= 6000π m²
~ 7000π m²
}

Find the slant height of a cone with radius 8 cm and height 15 cm. {
= 17 cm
~ 15 cm
~ 20 cm
~ 18 cm
}

Find the curved surface area of a hemisphere with radius 7 cm. {
= 308 cm²
~ 350 cm²
~ 400 cm²
~ 450 cm²
}

A pencil is made of a cylinder of height 12 cm, a cone of height 3 cm, and a hemisphere of radius 2 cm. Find the total curved surface area of the pencil. {
~ 270 cm²
= 280 cm²
~ 300 cm²
~ 290 cm²
}

//Fill in the blanks

The curved surface area of an ice cream cone is _______. {
~ πr(2r+l)
~ 2πr(r+h)
~ πr²h
~ πrl
}

The combination of solid figures in a pencil is _______. {
~ Cone, cylinder, and hemisphere
~ Cone and cylinder
~ Cylinder and sphere
~ Cylinder and hemisphere
}

The wallpaper required for the warehouse walls is based on _______. {
~ Curved surface area
~ Total surface area
~ Volume of the warehouse
~ Area of the base
}

The length of the cylindrical part of a pencil is _______. {
~ 20 cm
~ 16 cm
~ 10 cm
~ 14 cm
}

The total curved surface area of the pencil is _______. {
~ 205.42 cm²
~ 305.42 cm²
~ 405.42 cm²
~ 505.42 cm²
}

To calculate the slant height of a cone, the formula used is _______. {
~ √(r² + h²)
~ πr²h
~ 2πrh
~ √(h² - r²)
}

The height of the conical part of the pencil is _______. {
~ 3 cm
~ 4 cm
~ 5 cm
~ 6 cm
}

The radius of the hemisphere forming the pencil’s end is _______. {
~ 4 cm
~ 3 cm
~ 5 cm
~ 2 cm
}

The curved surface area of a cylinder is calculated as _______. {
~ 2πrh
~ πr²h
~ πrl
~ 2πr(r+h)
}

The curved surface area of a hemisphere is given as _______. {
~ 2πr²
~ πrl
~ πr(r+h)
~ πr²
}

//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
 {
=Ice cream cone -> Combination of cone and hemisphere
=Warehouse -> Combination of cone and cylinder
=Slant height of cone -> √(r² + h²)
=Curved surface area of cylinder -> 2πrh
=Curved surface area of hemisphere -> 2πr²
}



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