CONE

Shaan is working on a project where he needs to create a solid by revolving a right angled triangle about its height. What solid will he form?

• Cylinder

• Sphere

• Right circular cone

• Two cones

Aashi is sharpening her pencil, which is cylindrical and sharpened at one edge. This pencil is the combination of

• Two cylinders

• A cone and a cylinder

• None of these

Aashi is trying to calculate the volume of a cylindrical water tank for her science project. What is the formula for the volume of cylinders?

• L*h

• 2llrh

• Bhl

• None of these

Viaan is designing a decorative cone-shaped fountain for his backyard. If the slant height of the fountain is 10 and the radius is 6, what is the surface area of the cone?

• 376.99

• 301.44

• 256.87

• 278.64

Tisha is making a decorative cone-shaped vase for her art project. If the height of the vase is 10 units and the radius at the base is 4 units, what is the volume of the vase?

• 175.93

• 186.34

• 154.82

• 167.46

Aanya is planning a birthday party and wants to make a paper party hat. The hat has a slant height of 6 inches and a height of 5 inches. How many square feet of cardboard would be needed to create this hat?

• 62.5 in.²

• 10 in.²

• 50 in.²

• 22.5 in.²

Rohan is trying to fill a cone-shaped ice cream cone with ice cream. How does he find the volume of the cone?

• V= ^1/₃ πr²h

• V= ^4/₃ πr²h

• V= ^4/₃ πr³

• V= πr²h

Aisha has a large plastic cup that she is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Aisha’s cup?

• 21 cubic inches

• 63 cubic inches

• 66 cubic inches

• 198 cubic inches

Ria is trying to paint a large box for her art project. What is surface area in this context?

• The distance around the outside of a two-dimensional figure

• The number of square units in a two-dimensional figure

• The number of cubic units needed to fill a three-dimensional figure.

• The sum of the areas of all surfaces on a three-dimensional figure

Dhruv is designing a decorative cone-shaped lamp for his room. He wants to find the total surface area of the cone. Round to the nearest tenth.

• 37.7 m²

• 50.3 m²

• 75.4 m²

• 25.1 m²