MCQ on surface areas and volumes

11- The radius and length of arc of a sector are 10em and 15em respectively. Find its perimeter
(A) 15 cm
(B) 20 cm
(C) 25 cm
(D) 35 cm
12- The volume of the cube is 729 cm². What is the length of the diagonal?
(A) 9√2
(B) 9√3
(C) 18
(D) 18√3
13-Find the approximate length of the longest pole that can be put in a room 10 m x 8 m x 5 m.
(A) 11.50 m
(B) 13.75 m
(C) 14.25 m
(D) 15.15 m
14-A man riding a bicycle, completes one lap of a circular field along the circumference at the speed of 14.4km/hr in 1 minute 28 sec. What is the area of the field?
(A) 7950 sq. m.
(B) 8812 sq. m.
(C) 9856 sq. m.
(D) 9963 sq. m
15-If the lengths of the sides of a triangle are 11 cm, 60 cm and 61 cm, then its area is
(A) 140 sq. cm.
(B) 305 sq. cm.
(C) 330 sq. cm.
(D) 640 sq. cm.
16-The surface area of a cube is 384 cm². Find its volume.
(A) 341 cm³
(B) 343 cm³
(C) 402 cm³
(D) 512 cm³
17-Find the area of the iron sheet required to prepare a cone of 24 cm height with base radius 7 cm.
(A) 0.704 cm²
(B) 7.04 cm²
(C) 70.4 cm²
(D) 704 cm²
18-A building is in the form of a hollow hemisphere of outer radius 100 m and thickness of wall is 1 m. If cost of painting 1 sq. m. is Rs. 5 then total cost of painting both the outer and inner walls of the building is (Take π = 22/7)
(A) Rs. 1,24,000
(B) Rs. 2,51,000
(C) Rs. 5,12,124
(D) Rs. 6,22.317
19-The volume of the hemi sphere is 1152 π cm³ then the curved surface area of the hemisphere is
(A) 240 π cm²
(B) 202 π cm²
(C) 288 π cm²
(D) 330 π cm²
20-The volume of a cone is 216 π cm³. If the base radius is 9 cm. Find the height of the cone.
(A) 6 cm
(B) 7 cm
(C) 8 cm
(D) 9 cm
ANSWERS:
11-(D), 12-(B), 13-(B), 14-(C), 15-(C), 16-(D), 17-(D), 18-(D), 19-(C), 20-(C)