Question Bank: Surface Areas and Volumes

What is the surface area of a cylinder with height 10 cm and radius 5 cm?

Which of the following solids has only one curved surface?

If the radius of a sphere is doubled, how does its surface area change?

A hemisphere has a radius of 3 cm. What is the total surface area of the hemisphere?

What is the volume of a cone with a height of 9 cm and a base radius of 3 cm?

When combining solids, which surfaces are included in the total surface area calculation?

If two cubes have a side length ratio of 1:2, what is the ratio of their volumes?

What is the formula for the volume of a sphere with radius r?

If the height of a cylinder is halved while keeping the radius the same, what happens to the volume?

What is the total surface area of a cylinder with radius 4 cm and height 5 cm?

Which solid can be described as having both curved and flat surfaces?

If a cylinder has a radius of r and a height of h, how do you express the total surface area in terms of r and h?

Which of the following shapes cannot form a closed solid?

What is the volume of a hemisphere with radius 6 cm?

How do the surface areas of two similar solids compare if the ratio of their corresponding dimensions is 1:3?

What is the total surface area of a cylinder with two hemispheres on each end, given that the radius is 3 cm and the height of the cylinder is 10 cm?

A cone and a hemisphere are combined to form a toy. If the radius of both solids is 4 cm, what is the total surface area of the toy?

If a cube of edge length 6 cm has a hemisphere of radius 3 cm placed on top, what is the total surface area of the block?

How do you calculate the total surface area of a composite solid made of a cylinder and a cone if both have the same radius of 5 cm and the height of the cone is 7 cm?

A block is formed by combining a rectangular prism base of dimensions 4 cm × 3 cm × 5 cm and a hemispherical top of radius 3 cm. Find the total surface area.

Find the total surface area of a wooden block made of a cube (edge 4 cm) with a cylinder (radius 2 cm, height 6 cm) attached on one side.

What is the total surface area of a toy shaped like a cone of height 10 cm with a base radius of 3 cm, topped with a hemisphere of the same radius?

If a cylinder has a radius of 4 cm and a height of 10 cm, and a hemisphere sits on the top, what is the total surface area excluding the base circular area of the hemisphere?

A block consists of a square base pyramid of base length 5 cm and height 10 cm with a hemisphere of radius 2.5 cm on top. What is its total surface area?

What is the total surface area of a composite solid consisting of a cube with edge 3 cm and a circular cone of base radius 3 cm and height 4 cm?

Given the dimensions of a composite solid made of a cylinder and cone with a height of 12 cm for the cylinder and 4 cm height for the cone, both with a radius of 3 cm, find the total surface area.

A vase is in the shape of a truncated cone with a base radius of 4 cm, and the top radius is 2 cm, and the height is 10 cm. What is the total surface area of the vase?

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm? (Use π = 3.14)

A cone has a radius of 4 cm and a height of 9 cm. What is its volume? (Use π = 3.14)

What is the volume of a sphere with a radius of 7 cm? (Use π = 3.14)

A hemisphere has a diameter of 10 cm. What is its volume? (Use π = 3.14)

How do you calculate the total volume of a cylinder of height 10 cm and radius 2 cm along with a cone of the same radius but height 6 cm?

If the base radius and height of a cone are doubled, what happens to its volume?

What is the height of a cylinder with a volume of 300 cm³ and a radius of 5 cm? (Use π = 3.14)

A cube has an edge of 4 cm. If a hemisphere with the same diameter is placed on top, what is the total volume?

Calculate the volume of a solid that consists of a cylinder with height 10 cm and radius 3 cm, topped with a cone with radius 3 cm and height 4 cm. What is the total volume? (Use π = 3.14)

The volume of a cylinder is 160 cm³ while the height is 10 cm. What is the radius? (Use π = 3.14)

What is the volume of a cylinder if the radius is increased by 50% and the height decreased by 25%?

A right circular cylinder has a height of 12 cm and a base radius of 4 cm. What is its surface area? (Use π = 3.14)

If the volume of a sphere is found to be 904.32 cm³, what is its radius? (Use π = 3.14)

What is the formula for the total surface area of a solid consisting of a cylinder with two hemispheres attached at both ends?

A toy is made by joining a hemisphere and a cone at their flat surfaces. If both have a base radius of 'r', what is the TSA of this toy?

If the radius of a hemisphere is doubled, how does it affect its curved surface area?

What is the relationship between total surface area and volume when considering the same radius for a cylinder and an attached hemisphere?

Which of the following solids cannot be broken down into simpler solids for TSA calculation?

Calculate the TSA of a cylinder with a radius of 3 cm and a height of 7 cm, with hemispheres on both ends.

What happens to the TSA of a cone with fixed radius and height when you increase the radius of a hemisphere attached at its base?

When calculating TSA for solids with flat bases touching, which surfaces must not be counted?

For a toy that combines a cylinder with a cone, which formula represents its TSA?

If the surface area of a hemisphere is 100π cm², what is its radius?

In calculating TSA for a solid structure made of a cone and a cylinder, which surface area is used only once?

How does the radius of a sphere affect its TSA when additional solids are combined?

How do you determine the TSA of a complex solid consisting of three different shapes?

If the height of a cylinder is tripled, how will its TSA change if the radius remains constant?

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

A cone and a hemisphere have the same radius of 4 cm and the height of the cone is 6 cm. What is the total volume of the two?

What is the volume of a cylinder with a height of 10 cm and a base radius of 2 cm?

How can you express the volume of a compound solid formed by combining a cylinder and a hemisphere if both share the same radius?

A water tank is in the shape of a cylinder with two hemispherical ends. If the radius of the cylinder is 5 cm and its height is 10 cm, what is the total volume?

What is the volume of a cone with a base radius of 6 cm and a height of 9 cm?

If a cylinder and a cone have equal heights of 12 cm and bases of radii 4 cm, what is the volume of the combined shape?

What is the volume of a hemisphere with a radius of 2 cm?

When a cylinder is capped with two hemispheres, if the cylinder’s radius is 5 cm and height is 10 cm, what is the volume?

Calculate the volume of a solid composed of a cone and a hemisphere if the hemisphere is placed on top of the cone, both with a radius of 7 cm and the cone's height is 10 cm.

The volume of a solid made of a cylinder and a hemisphere at one end, both with a radius of 3 cm and the height of the cylinder as 4 cm, is?

If a solid consists of a cylinder of radius 5 cm and height 10 cm, topped with a cone of base radius 5 cm and height 5 cm, what is the total volume?

What is the formula for the curved surface area of a cylinder?

If the height of a cone is doubled, what happens to its volume?

What is the total surface area of a hemisphere with radius r?

In a combined shape consisting of a cone atop a cylinder, if both have the same radius, how is the total surface area calculated?

If each edge of a cube is increased by 50%, what is the factor by which its volume increases?

What does the term 'total surface area' encompass for a rectangular prism?

A right circular cylinder has a radius of 3 cm and height of 5 cm. What is its volume?

Which dimensions must be known to calculate the volume of a cone?

How does the curved surface area of a cone compare to that of a cylinder with the same base radius and height?

What is the relationship between the diameter and radius of a circle?

If you decrease the radius of a sphere by half, what happens to its volume?

What is the formula for the volume of a sphere?

When calculating the surface area of a compound solid, what must you remember?

A cone has a radius of 3 cm and height of 4 cm. What is the slant height of the cone?

What happens to the surface area of a cone when you increase its height only?