right prism, right circular cone, right circular cylinder, sphere - One Line Questions
1.
A right circular cone is inscribed in a sphere of radius R. If the height of the cone is h, what is its volume? —
(1/3)πh²(2R-h)
2.
What is the ratio of the volume of a sphere to the volume of a right circular cylinder that circumscribes it (same radius and height equal to diameter)? —
2:3
3.
If the radius of a sphere is decreased by half, its surface area will be multiplied by what factor? —
1/4
4.
What is the surface area of a sphere with a diameter of 10 cm? —
100π cm²
5.
The diameter of the base of a right circular cone is 10 cm and its height is 12 cm. What is its volume? —
400π cm³
6.
What is the volume of a right circular cone with slant height 13 cm and base radius 5 cm? —
120π cm³
7.
A right circular cone has a slant height of 13 cm and a base radius of 5 cm. What is its height? —
12 cm
8.
A right prism has a rectangular base of 4 cm by 6 cm and a height of 10 cm. What is its total surface area? —
208 cm²
9.
A right circular cone has a base area of 36π cm². If its height is 10 cm, what is its volume? —
360π cm³
10.
The volume of a sphere is 36π cm³. What is its surface area? —
36π cm²
11.
A right circular cone has a base radius of 8 cm and a height of 15 cm. What is its slant height? —
17 cm
12.
A right prism has a base that is an isosceles triangle with sides 5 cm, 5 cm, and 6 cm. If the height of the prism is 10 cm, what is its volume? —
120 cm³
13.
A right circular cylinder has a radius of 3 cm and a height of 5 cm. What is its lateral surface area? —
30π cm²
14.
What is the total surface area of a right circular cone with radius 3 cm and slant height 5 cm? —
24π cm²
15.
A right prism has a square base with side length 5 cm and a height of 8 cm. What is its total surface area? —
180 cm²
16.
If the radius of a sphere is doubled, its volume will be multiplied by what factor? —
8
17.
A right prism has a base that is a regular pentagon with side length 3 cm and a height of 7 cm. If the apothem of the pentagon is approximately 2.06 cm, what is its volume? —
72.1 cm³
18.
The base of a right prism is a rhombus with diagonals 8 cm and 6 cm. If the height of the prism is 10 cm, what is its volume? —
48 cm³
19.
A right prism has a base that is a regular hexagon with side length 4 cm. If the height of the prism is 10 cm, what is its volume? —
240√3 cm³
20.
A right prism has a hexagonal base with side length 4 cm and a height of 6 cm. If the area of the hexagonal base is approximately 41.57 cm², what is its volume? —
249.42 cm³
21.
What is the volume of a right circular cylinder with radius 8 cm and height 3 cm? —
192π cm³
22.
A right circular cylinder has a diameter of 12 cm and a height of 7 cm. What is its total surface area? —
252π cm²
23.
What is the lateral surface area of a right circular cylinder with radius 'r' and height 'h'? —
2πrh
24.
The total surface area of a right circular cylinder is given by which formula? —
2πr(r+h)
25.
If the radius of a sphere is tripled, its volume will be multiplied by what factor? —
27
26.
What is the radius of a sphere whose volume is 288π cm³? —
6 cm
27.
The volume of a right circular cylinder is 540π cm³ and its height is 15 cm. What is its radius? —
6 cm
28.
The lateral surface area of a right circular cylinder is 110 cm² and its radius is 5 cm. What is its height? —
7 cm
29.
A right circular cone has a volume of 36π cm³ and a base radius of 3 cm. What is its height? —
12 cm
30.
The surface area of a sphere is 144π cm². What is its radius? —
6 cm
31.
What is the lateral surface area of a right prism whose base is a square of side 5 cm and height is 8 cm? —
160 cm²
32.
A right circular cylinder has a radius of 4 cm and a height of 10 cm. What is its lateral surface area? —
80π cm²
33.
The radius of the base of a right circular cylinder is 5 cm and its height is 8 cm. What is its volume? —
200π cm³
34.
A right prism has a rectangular base of 5 cm by 7 cm and a height of 12 cm. What is its volume? —
420 cm³
35.
What is the surface area of a sphere with radius 7 cm? —
196π cm²
36.
What is the surface area of a sphere with radius 'r'? —
4πr²
37.
What is the formula for the volume of a sphere with radius 'r'? —
(4/3)πr³
38.
A right circular cone has a base radius of 3 cm and a height of 4 cm. What is its slant height? —
5 cm
39.
What is the volume of a right circular cylinder with radius 10 cm and height 5 cm? —
500π cm³
40.
A right circular cone has a slant height of 10 cm and a base radius of 6 cm. What is its height? —
8 cm
41.
A right prism has a square base of side 6 cm and a height of 10 cm. What is its lateral surface area? —
240 cm²
42.
A right prism has a triangular base with sides 3 cm, 4 cm, and 5 cm. If the height of the prism is 10 cm, what is its volume? —
60 cm³
43.
What is the volume of a right circular cone with radius 6 cm and height 10 cm? —
120π cm³
44.
If the diameter of a sphere is 12 cm, what is its volume? —
288π cm³
45.
The radius of the base of a right circular cylinder is 7 cm and its height is 15 cm. What is its volume? —
735π cm³
46.
The base of a right prism is an equilateral triangle with side length 6 cm. If the height of the prism is 9 cm, what is its volume? —
81√3 cm³
47.
The radius of a sphere is 9 cm. What is its volume? —
972π cm³
48.
What is the volume of a sphere with radius 3 cm? —
36π cm³
49.
What is the formula for the volume of a right circular cone? —
V = (1/3)πr²h
50.
What is the lateral surface area of a right circular cone with radius 'r' and slant height 'l'? —
πrl